1 / 3

Derivatives Product Rule

By Nathan Mehta Period 4 MACH 5. Derivatives Product Rule. Find the Derivative of f(x)=X 4 [5X-1] 3. f(x)=X 4 [5X-1] 3 Original Equation f ’(x)=4X 3 [5X-1] 3 + X 4 ( 3)(5X-1) 2 (5) Get the derivative of X 4 by using the Power Rule and leave [5X-1] 3 as is

brina
Download Presentation

Derivatives Product Rule

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. By Nathan Mehta Period 4 MACH 5 DerivativesProduct Rule

  2. Find the Derivative of f(x)=X4[5X-1]3 • f(x)=X4[5X-1]3 Original Equation • f’(x)=4X3[5X-1]3 + X4 (3)(5X-1)2 (5) • Get the derivative of X4 by using the Power Rule and leave [5X-1]3 as is • Then add X4 and get the derivative of [5X-1]3 by using the Package Rule • Then multiply by the derivative of 5X-1by using the Package Rule

  3. Find the Derivative of f(x)=X4[5X-1]3 • f’(X)= 4X3[5X-1]3 + 15X4 (5X-1)2 Simplify • f’(X)= X3(5X-1)2 [4(5X-1)+ 15X] Factor • f’(X)= X3(5X-1)2 [20X - 4 + 15X] Simplify • f’(X)= X3(5X-1)2 [35X - 4] Simplify

More Related