Question

Im Triggered Pls Dont DELETE!

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:

$\dfrac{d}{dx} [u^a] = a(u)^{a-1} du$

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:

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