Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
If $ f(2) = 10 $ and $ f'(x) = x^2 f(x) $ for all x, find $ f''(2). $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Clarissa Noh
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
00:44
Frank Lin
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 2
The Product and Quotient Rules
Derivatives
Differentiation
Missouri State University
Oregon State University
Harvey Mudd College
Baylor University
Lectures
04:40
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
44:57
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
01:40
If $ f(x) + x^2[f(x)]^3 = …
01:29
04:34
If $f(x)+x^{2}[f(x)]^{3}=1…
00:27
If $f(x)=x^{2},$ find $f(x…
01:00
Find $f(1)+f(2)+\cdots+f(1…
00:35
Let $f(x)=|2 x-4| .$ Find …
00:32
If $f(x)=x^{2}-4,$ find $f…
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.
View More Answers From This Book
Find Another Textbook
02:53
1 Determine whether Or not F is a conservative vector field. If it is, find …
01:57
Which data set has an apparent positive, but not perfect, Iinear relationshi…
02:38
The variable "weights of suitcases on selected commercial airline fligh…
02:28
Classify the variable as discrete or continuous: "Relative humidity lev…
07:43
Consider independent r.v. 's Xij'_ denoting the j-th sample from p…
02:03
Tests on a gyroscope show that it can withstand any random vibration along g…
03:52
calculate the following probabilities for an experiment in which n =4 and p …
02:35
Some of the lines joining the pads and center element in Fig: 10.7(e) are si…
Question 7 Not yet anaweredFind the volume of the solid that results whe…
01:16
The relationship between millions of dollars invested in human capital (x) a…