💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 48 Easy Difficulty

If $ f(2) = 10 $ and $ f'(x) = x^2 f(x) $ for all x, find $ f''(2). $

Answer

200

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

it's clear. So name read here. So we're gonna use our product rule. Then we get us The drug builder of it is is equal to two x of X plus X squared times, the derivative of the We know that the derivative of off to is equal to two square time's up of two, which is equal to four times 10 which gives us 40. So when we plug it in to our equation here we get the second derivative of up of two is equal to two times two times 10 plus two square plus 40 which is equal to 200.