Question

Find the derivative of the function.

f(x) = (8e^x)-(x^2e^x)

Answer 1

Hint (1) : derivative of e^x = e^x.

Hint (2) : Deriving multiplied values:

The first times the derivative of the second plus the second times the derivative of the first.

Learn that phrase.

Answer 2

ok so the derivative 8e^x-2e^x?

Answer 3

f'(x)=d/dx(8e^x)-d/dx(x^2e^x)

you will need to use the product rule for the second one

8e^x-(d/dx(x^2)e^x+x^2(d/dx(e^x)))

8e^x -(2xe^x+x^2e^x)

8e^x-2xe^x-x^2e^x

e^x(8-2x-x^2)