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1. The derivative of (g(r))" is n(g(r))"-.g' (r). Use this to find the derivative of the following: (a) (a+1)4 4 (b) sin" r. (Remember that sin" z is another notation for (sin z).)

1. The derivative of (g(r))" is n(g(r))"-.g' (r). Use this to find the derivative of the following: (a) (a+1)4 4 (b) sin" r. (Remember that sin" z is another notation for (sin z).)

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. The derivative of (g(x))n is n(g(x))n−1
· g
0
(x). Use this to find the derivative of the following:
(a) (x
3 + 1)4
(b) sin4 x. (Remember that sin4 x is another notation for (sin x)
4
.)

1. The derivative of \((g(x))^n\) is \(n(g(x))^{n-1} \cdot g'(x)\). Use this to find the derivative of the following: (a) \((x^3 + 1)^4\) (b) \(\sin^4 x\). (Remember that \(\sin^4 x\) is another notation for \((\sin x)^4\).)
Transcribed Image Text:1. The derivative of \((g(x))^n\) is \(n(g(x))^{n-1} \cdot g'(x)\). Use this to find the derivative of the following: (a) \((x^3 + 1)^4\) (b) \(\sin^4 x\). (Remember that \(\sin^4 x\) is another notation for \((\sin x)^4\).)
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