Question

Im Triggered Pls Dont DELETE!

Find the derivative of f(x).
f(x)=(ex+5x)2
f′(x)=

Find IT for points.. also no copying i hate that stuff

Answer 1

2ex + 10x

The derivative is 2e + 10

Answer 2

I'm assuming you mean
`f(x) = (e^x + 5x)^2`, not
`f(x) = (e x + 5x)2`, like your prompt suggests.

First, let's figure out what rule we can use. A likely noticeable one is the Power Rule, which says the following:

`(d)/(dx) [u^a] = a(u)^(a-1) du`

Applying this, we can solve for the derivative:

`f'(x) = 2(e^x + 5x) (e^x + 5)`

• Apply the Power Rule

While you can simplify the expression to your liking, I believe that this form is not overly complex and will thus leave it as is.

Thus, our answer is:

`f'(x) = \boxed{2 (e^x + 5x)(e^x + 5)}`