Question

using the composite rule differentiate the following function...

Answer 1

what's between the 25 and the x?

Answer 2

its 2sinx

Answer 3

oh, ok.

Answer 4

First you differentiate the power of e as of it was e^x, then you multiply that by the derivative of what's in the power.

Answer 5

So thinks you need to compute:
d/dx e^x
and:
d/dx -3x+2sin(x)

Answer 6

does that mean that you just put the two differentiated answers together to get the composite answer

Answer 7

I wasn't clear enough I think: this is the chain rule that you need to use:

d/dx f(g(x))=f'(g(x)) * g'(x)

So here f(x)=e^x and g(x)=-3x+2sin(x)

f'(x)=e^x and g'(x)=-3+2cos(x)

So we get: (-3+2cos(x))e^(-3x+2sin(x))