Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let \( f(x) = -3x^6 \sqrt{x} + \frac{-8}{x^3 \sqrt{x}} \).

\[ f'(x) = -18x^5 \sqrt{x} - \frac{3}{2}x^5 \sqrt{x} + 24x^{-4} \sqrt{x} - \frac{4}{x^{\frac{5}{2}}} \]

(Note: The red 'x' indicates the derivative calculation may need reviewing.)
Transcribed Image Text:Let \( f(x) = -3x^6 \sqrt{x} + \frac{-8}{x^3 \sqrt{x}} \). \[ f'(x) = -18x^5 \sqrt{x} - \frac{3}{2}x^5 \sqrt{x} + 24x^{-4} \sqrt{x} - \frac{4}{x^{\frac{5}{2}}} \] (Note: The red 'x' indicates the derivative calculation may need reviewing.)
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