Question

I need some massive Calc. help!

Answer 1

The function h is given by h(x)=cos(kx)[f(x)]+sin(x) for all real numbers, where k is a constant. Find h ′(x) and write an equation for the line tangent to the graph of h at x=0.

Answer 2

This is the information give:

The twice–differentiable function f is defined for all real numbers and satisfies the following conditions:

f(0)=3

f ′(0)=5

f ‘’(0)=7

Answer 3

I know I have to go from here:

lim h->0 (cos(k(x+h))[f(x+h)+sin(x+h)] - cos(k(x))[f(x)+sin(x)]/(h))

Answer 4

Or rather:

((cos(k(x+h))[f(x+h)]+sin(x+h)) - (cos(kx)[f(x)]+sin(x)))/h

Answer 5

why do you have to do that? just use the product rule

Answer 6

Oh! So the derivative of the constituents multiplied to get the whole derivative?

Answer 7

\[\frac{d}{dx}[f(x) * g(x)] = f'(x) g(x) + f(x) g'(x)\]right?

Answer 8

I see. Yes thank you! I need to review these things.