Question

Hello,

Could somebody kindly check my answer for the following question?

Find the derivative of the following function:

h(x)=3e^(sin(x+2))
h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))'
h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1))
h'(x)=3cos1(e^(sin(x+2))

I would greatly appreciate your help.

Constantine

Answer 1

you can always check your answers at wolframalpha.com

As you can see, you're way off.

If h = 3e^u where u is a function of x, then
h' = 3e^u du/dx
= 3e^(sin(x+2)) * cos(x+2)

http://www.wolframalpha.com/input/?i=derivative+3e^%28sin%28x%2B2%29%29

Answer 2

Thank you Steve.