Find the derivative of the function. y = 7(6 - x²)6 Step 1 Apply the general power rule which states that if y = [u(x)"], where u is a differentiable function of x and n is a rational number, then du n[u(x)]^-1 dx- Let u = 6x² and substitute u for 6x² in the original equation. y = 7(6 - x²)6 Submit dy = n dx = 7 6 Skin (you cannot come back)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Find the derivative of the function.
y = 7(6 - x²)6
Step 1
Apply the general power rule which states that if y = [u(x)”], where u is a differentiable function of x and n is a rational number, then
dy = n [u(x)]^-1 du
dx
dx
Let u = 6 - x² and substitute u for 6 - x² in the original equation.
y = 7(6 - x²)6
Submit
= 7
6
Skin (you cannot come back)
Transcribed Image Text:Find the derivative of the function. y = 7(6 - x²)6 Step 1 Apply the general power rule which states that if y = [u(x)”], where u is a differentiable function of x and n is a rational number, then dy = n [u(x)]^-1 du dx dx Let u = 6 - x² and substitute u for 6 - x² in the original equation. y = 7(6 - x²)6 Submit = 7 6 Skin (you cannot come back)
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