Hey, can you guys explain how to do these problems? I'm stumped!
1) If f(x)=sinx and g(x)= (x+2)^(1/2) then the derivative of y=g(f(x)) at x=pi is ...
2) The lim as h -> 0 ( tan 4(x+h) - tan(4x) )/ h is....
3) Find the derivative of y=(3x^4)e^3x
4) If ln (4x) = e^y, what is dy/dx in terms of x?
5) If y = ln x, then the third derivative is...
7) If y = (g(x))^3 find y'(2) when g(2)=2 and g'(2)=10
8) Consider the curve defined by xy^2-x^3y=6
Find all points on the curve whose x coordinate is 1, and write an equation for the tangent line at each of these points.