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

Numerade Educator

Find $f'(a)$.$f(x) = 3x^2 - 4x + 1$

$6 a-4$

Limits

Derivatives

Discussion

You must be signed in to discuss.
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Lectures

Join Bootcamp

Video Transcript

Okay in this problem we have F of X equals three X squared minus four X plus one. Uh Have prime of X. Taking the derivative of our function F. A bex the derivative of three X squared, while the derivative of X squared would be two times X to the first. Uh Such derivative of three X squared will be two times three X to the first or six X to the first or 6 6. So two times three X six X. And then we should attract one from that exponent. So it's X to the first, which we don't have to write to do and then bring down the subtraction. Sign. The derivative of four times X is just four and uh the derivative of a constant is zero. So we don't have to write plus zero. So here's F prime of X. Uh So if we want to find what is the derivative of F evaluated when X is a. We simply just plug a into the derivative function. So F prime of X is six times X minus four. F prime of a is six times a minus four.

Temple University

Topics

Limits

Derivatives

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Lectures

Join Bootcamp