







The derivative of f(x)=2^x/x 
20171128 

Chhavi pose la question : f(x)=2^x/x.
Find f'(x). Penny Nom lui répond. 





Differentiate y = x^x^x 
20170319 

Nafis pose la question : differentiate y = x^x^x Penny Nom lui répond. 





The derivative of the inverse of a function 
20161028 

Kate pose la question : Hi, I'm in a College level Calculus course and I can't seem to figure out the answer to this question.
Find the derivative of f^1(4) if f(3)=4 and f'(3)=1/7 Penny Nom lui répond. 





Two cars approaching an intersection 
20150416 

Engabu pose la question : Car A is traveling west at 50km/h & car B is traveling north at 60km/h. both are headed for the intersection of the two roads. At what rate are the cars approaching each other when car A is 3km & car B is 4km from the intersection? Penny Nom lui répond. 





Differentiate ln[x(2x4)^1/2] 
20140628 

Igwe pose la question : If y=In[x(2x4)^1/2],find dy/dx at x=3 Penny Nom lui répond. 





Differentiate x^x  2^sinx 
20130809 

tarun pose la question : derivative of x^x  2^sinx Penny Nom lui répond. 





Dt[sin t tan (t^2+1)] 
20120221 

Ayu pose la question : Ayu
Dt[sin t tan (t^2+1)]
derivatives Harley Weston lui répond. 





The derivative of f(x) = (x+1)^1/2 
20110905 

Carla pose la question : Find the derivative using the limit process of
f(x) = (x+1)^1/2 Harley Weston lui répond. 





Differentiating y= square root(x1) 
20090929 

edith pose la question : describe the xvalues at which f is differentiable.
y= square root(x1) Penny Nom lui répond. 





What's the derivative of y = e^2xe^2x / e^2x+e^2x? 
20090202 

Heather pose la question : What's the derivative of y = e^2xe^2x / e^2x+e^2x ? Harley Weston lui répond. 





Differentiate y= (x^x^x)^x 
20080627 

emril pose la question : Differentiate y= (x^x^x)^x Harley Weston lui répond. 





f(x)=sin^3(3x^2) find f ' (x) 
20080421 

Michael pose la question : f(x)=sin^3(3x^2) find f ' (x) Harley Weston lui répond. 





The chain rule 
20080410 

joey pose la question : pls help me to Differentiate
y=(3x^24x)^8 Harley Weston lui répond. 





The derivative of f(x)=1/(x1) 
20070921 

Michelle pose la question : im having trouble finding the derivative of f(x)=1/(x1) using the f(x+h)f(x)/h method. Stephen La Rocque lui répond. 





Differentiate x^(1/3) using first principles 
20070914 

Sheila pose la question : our teacher gave us this question as a challenge and even he couldnt figure it out:
Differentiate x^(1/3) [aka the cube root of x] using first principles. i know the answer is 1/(3.x^2/3), but how is it possible using first principles? Harley Weston lui répond. 





Derivatives 
20070201 

Jacob pose la question : Find the derivative of: y= pi^2+x^2+3xy+sin(y^2) Penny Nom lui répond. 





Differentiate Y= sin3x + cos7x 
20060822 

james pose la question : Differentiate the function of x using the basic rules.
Y= sin3x + cos7x Stephen La Rocque lui répond. 





differentiate the volume of a cylinder with V respect to h 
20060524 

A student pose la question : differentiate the volume of a cylinder with V respect to h Stephen La Rocque lui répond. 





Differentiation, powers and logs 
20060106 

Claudia pose la question :
Question: how do I find the derivative of
x* ln(x+(e^2))^2
x^lnx
x^(e^(x^2))
Penny Nom lui répond. 





How do you differentiate y=(x)^(x^x)? 
20050914 

Calebius pose la question : How do you differentiate y=(x)^{(xx)}? Penny Nom lui répond. 





Logarithmic differentiation 
20050523 

Richard pose la question : I need to convince myself that I understand the process of
differentiating y=x^{x}.
The specific question is that if I have to take the logarithm of both sides
of the equation how can differentiate the following?
y= {(x+2)^{(x+2)}}/{(x+1)^{(x+1)}}  {(x+1)^{(x+1)}}/(x^{x}),
I have an idea that the differential of this fairly complex function
is itself ... am I right or wrong. Penny Nom lui répond. 





Differentiating F(x,y) = 0 
20050123 

Jacob pose la question : In calculus, we often mention to the students that if F(x,y) = 0, then we can differentiate both sides and still get an equality. The problem is that we can't perform the same operation on F(x) = 0, say x = 0, otherwise 1 = 0, which is absurd. What is the reason? Walyer Whileley and Harley Weston lui répond. 





ln(x)/x 
20041211 

Tina pose la question : What is the derivative of (ln x)/x? The double derivative? Penny Nom lui répond. 





Implicit differentiation 
20041024 

Emily pose la question : If x^3+3xy+2y^3=17, then in terms of x and y, dy/dx = Penny Nom lui répond. 





differentiate Y=X^X^X 
20040913 

Kunle pose la question : differentiate Y=X^X^X Penny Nom lui répond. 





Differentiation 
20040804 

A parent pose la question : I am a parent trying to understand higher level of maths and would be very grateful if you could help with differentiating the following functions, identifying general rules of calculus:
a) f(x)=e^2^xIn(cos(8x))
b) f(x)=secx/SQRTx^4+1 Penny Nom lui répond. 





Some calculus problems 
20040401 

Weisu pose la question :
I have questions about three word problems and one
regular problem, all dealing with derivatives.
 Find all points on xy=e^{xy} where the tangent line
is horizontal.
 The width x of a rectangle is decreasing at 3 cm/s,
and its length y is increasing at 5 cm/s. At what rate
is its area A changing when x=10 and y=15?
 A car and a truck leave the same intersection, the
truck heading north at 60 mph and the car heading west
at 55 mph. At what rate is the distance between the
car and the truck changing when the car and the truck
are 30 miles and 40 miles from the intersection,
respectively?
 The production P of a company satisfies the
equation P=x^{2} + 0.1xy + y^{2}, where x and y are
the inputs. At a certain period x=10 units and y=8
units. Estimate the change in y that should be made to
set up a decrease of 0.5 in the input x so that the
production remains the same.
If you could just give me some hints on these
questions, I'd really appreciate it. Thanks! Penny Nom lui répond. 





A derivative 
20040331 

A student pose la question : What is the nth derivative of f(x) =(2x)/(1(x^{2}))? Harley Weston lui répond. 





The slope of a tangent 
20031001 

A student pose la question :
find the slope of the tangent to each curve at the given point f(x)=square root 16x, where y=5 Penny Nom lui répond. 





Find an exprression for f(x) 
20010207 

A 12th grade AP Calc student pose la question : Let f be the function defined for all x > 5 and having the following properties. Find an expression for f(x). i) f^{ ''}(x) = 1/ (x+5)^{1/3} for all x in the domain of f ii) the line tangent to the graph of f at (4,2) has an angle of inclination of 45 degress. Harley Weston lui répond. 





Thearcius Functionius 
20000503 

Kevin Palmer pose la question : With the Olympics fast approaching the networks are focusing in ona new and exciting runner from Greece. Thearcius Functionius has astounded the world with his speed. He has already established new world records in the 100 meter dash and looks to improve on those times at the 2000 Summer Olympics. Thearcius Functionius stands a full 2 meters tall and the networks plan on placing a camera on the ground at some location after the finish line(in his lane) to film the history making run. The camera is set to film him from his knees(0.5 meters up from the ground) to 0.5 meters above his head at the instant he finishes the race. This is a total distance of two meters(the distance shown by the camera's lens). Harley Weston lui répond. 





y = x^x^x^x... 
20000405 

Michael Hackman pose la question : Find the derivative of: y = x^x^x^x... on to infinity. Claude Tardif lui répond. 





The chain rule 
19991203 

Jennifer Stanley pose la question : This problem is making me dizzy. I would greatly appreciate a little help! Express the derivative dy/dx in terms of x. y=u^2(uu^4)^3 and u=1/x^2 Harley Weston lui répond. 





Derivatives with logs 
19991026 

Kate pose la question : What is the derivative of 5 to the 5x2 at x equals 0.8? Harley Weston lui répond. 





Graphing the Derivative 
19990118 

Milena Ghebre pose la question : This question has been nagging me for sometime now. Is there a way of finding out the derivative of a function, just by looking at the graph of it? Walter Whiteley lui répond. 

