Calculus Answers

Let f(x) = arctanx. Find f′(x).

Plot the following curves that are given parametrically as:
a) x = t(t-2) and y = t+4
b) x = t^2 and y = t^3 -t for -1≤t≤1

Differentiate the following functions:
a) y(x)=sln(x)
b) g(x) = (x^3 -5x)/cot(x)

Given that y(x) = cot(x)
Show that y′(x) = -cosec^2 (x) by using the quotient rule
(where y′(x) is the derivative of y(x))

What is the integral of (1+cos 4x)^2 dx ?

1)Find the centroid of the following shapes
https://lh6.googleusercontent.com/-ZQzpWqNWaHE/VTedVaeXOnI/AAAAAAAAACQ/whcxL6upjyc/w693-h518-no/IMG_0123.JPG
2)
https://lh6.googleusercontent.com/-Z31ll7x1TzY/VTedVaT-CHI/AAAAAAAAABs/NFE05oe3rok/w693-h518-no/IMG_0124.JPG
3)
https://lh6.googleusercontent.com/-n0iAZKNoW4Q/VTedVXm3XII/AAAAAAAAABE/TV1boRBRjRQ/w693-h518-no/IMG_0125.JPG

If
f(x,y)=4x3–3y2
, find
fx

Suppose
f(x,y)=sin2xcosy+xy2
, what is
∂f/∂y

Suppose
f(x,y)=sin2xcosy+xy2
, what is
∂f/∂x?
sin x cosx
2sinxcosx+y2
2sin x cosx cos y
2sinxcosxcosy+y2

f(x,y)=x3−2y2
, find f(-2,-1)