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e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = /x + 6. ecall that since g(x) = Vx + 6 is a differentiable function, then _[In(g(x))] = 9. Applying this rule gives the following result. g(x) Ex) = dx Vx + 6

e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = /x + 6. ecall that since g(x) = Vx + 6 is a differentiable function, then _[In(g(x))] = 9. Applying this rule gives the following result. g(x) Ex) = dx Vx + 6

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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1.5) Calculus homework

Tutorial Exercise Find the derivative of the function. f(x) = In(Vx + 6) Step 1 We are given the logarithmic function f(x) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = Vx + 6. Recall that since g(x) = Vx + 6 is a differentiable function, then [In(g(x)] = ). Applying this rule gives the following result. %3D dx g(x) dx f'(x) Vx + 6
Transcribed Image Text:Tutorial Exercise Find the derivative of the function. f(x) = In(Vx + 6) Step 1 We are given the logarithmic function f(x) = In(/x + 6). We note that this function is of the form In(g(x)), where g(x) = Vx + 6. Recall that since g(x) = Vx + 6 is a differentiable function, then [In(g(x)] = ). Applying this rule gives the following result. %3D dx g(x) dx f'(x) Vx + 6
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