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r(x) = 5 log4 (3x + 10)

r(x) = 5 log4 (3x + 10)

Calculus: Early Transcendentals
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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Find derivative
8:53 ◄ Search Calculus Find the Derivative r(x) = 5 log4 (3x + 10) . Since 5 is constant with respect to x, the derivative of 5 log4 (3x + 10) with respect to x d is 5. -[log4 (3x + 10)]. dx d 5 -[log4 (3x + 10)] dx Differentiate using the chain rule, which states d that -[ƒ (g(x))] is ƒ'(g(x)) g'(x) where dx f(x) = log₁ (x) and g(x) = 3x + 10. + Tap for more steps... 1 d 5 [3x+10] (3x + 10) ln (4) dx Differentiate. + Tap for more steps... 15 3x ln (4) + 10 ln (4) Upgrade to Premium to get the steps on every problem! Upgrade Now
Transcribed Image Text:8:53 ◄ Search Calculus Find the Derivative r(x) = 5 log4 (3x + 10) . Since 5 is constant with respect to x, the derivative of 5 log4 (3x + 10) with respect to x d is 5. -[log4 (3x + 10)]. dx d 5 -[log4 (3x + 10)] dx Differentiate using the chain rule, which states d that -[ƒ (g(x))] is ƒ'(g(x)) g'(x) where dx f(x) = log₁ (x) and g(x) = 3x + 10. + Tap for more steps... 1 d 5 [3x+10] (3x + 10) ln (4) dx Differentiate. + Tap for more steps... 15 3x ln (4) + 10 ln (4) Upgrade to Premium to get the steps on every problem! Upgrade Now
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