Question

Find $\frac{dy}{dx}$ if $y = \frac{2x - 7}{14x^5}$. $\frac{dy}{dx} = \boxed{}$

Name: find fracdydx if y frac2x 714x5 fracdydx boxed 85399
Uploaded: 2024-04-27T05:41:07-08:00
Duration: 1 min 30 s
Channel: Khushbu Rani
Description: find fracdydx if y frac2x 714x5 fracdydx boxed 85399

          Find $\frac{dy}{dx}$ if $y = \frac{2x - 7}{14x^5}$.
$\frac{dy}{dx} = \boxed{}$

$find fracdydx if y frac2x 714x5 fracdydx boxed 85399$

Added by Jessica C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Khushbu Rani

04/27/2024

Step 1

First, we can simplify the expression for $y$: $y = \frac{2x - 7}{14x^5} = \frac{2x}{14x^5} - \frac{7}{14x^5}$ $y = \frac{1}{7x^4} - \frac{1}{2x^5}$ Now, we can rewrite the terms using negative exponents: $y = \frac{1}{7}x^{-4} - \frac{1}{2}x^{-5}$ Step 2: Show more…

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