Question

If f(x)+x^5[f(x)]^3=2052 and f(2)=4, find f′(2)=

Answer 1

f(x)+x^5[f(x)]^3

is that one or two equations??

Answer 2

Oops i mean f(x)+x^5[f(x)]^3 =2052

Answer 3

it's one equation

Answer 4

have you tried differentiating the left side??

you'll need product rule, chain rule,
\(\Large \dfrac{d}{dx} x^n = n x^{n-1}\)
\(\Large \dfrac{d}{dx} f(x)^n = n f(x)^{n-1} f'(x)\)

Answer 5

That's what I figured I was suppose to do, but I don't see how I would do that.