Question

Find the derivative of the following function. $$g(x) = \frac{x^6 + 5x^5 + 6}{x^6}$$ $$g'(x) = \Box$$

Name: find the derivative of the following function gx fracx6 5x5 6x6 gx box 83558
Uploaded: 2021-08-11T01:27:15-08:00
Duration: 1 min 2 s
Channel: Tyler Moulton
Description: find the derivative of the following function gx fracx6 5x5 6x6 gx box 83558

          Find the derivative of the following function.
$$g(x) = \frac{x^6 + 5x^5 + 6}{x^6}$$
$$g'(x) = \Box$$

$find the derivative of the following function gx fracx6 5x5 6x6 gx box 83558$

Added by Fernando M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Tyler Moulton

08/11/2021

Step 1

To find the derivative, we can first simplify the function by dividing each term in the numerator by the denominator: $g(x) = \frac{x^6}{x^6} + \frac{5x^5}{x^6} + \frac{6}{x^6}$ $g(x) = 1 + 5x^{5-6} + 6x^{-6}$ $g(x) = 1 + 5x^{-1} + 6x^{-6}$ Show more…

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