respect to x without using the formula. Use y instead of show differentiation. Use / for fraction, for exponent, and sqrt to show - sin Step 1. Rewrite as sin-y- Step 2. Draw your right triangle on paper illustrating the equation in Step 1. What algebraic expression determines the third side of the right triangle? tep 3. Differentiate both sides of the equation in Step 1 with respect to x. he derivative of sin y is the derivative of is tep 4. Now, write y' in terms of x. You should get a fraction. What is the numerator? What is the denominator?

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 the derivative of y with respect to x without using the formula. Use y instead of to show ha
differentiation. Use / for fraction, for exponent, and sqrt to show
sin:³¹)
Step 1. Rewrite as sin y-
y sin
Step 2. Draw your right triangle on paper illustrating the equation in Step 1.
What algebraic expression determines the third side of the right triangle?
Step 3. Differentiate both sides of the equation in Step 1 with respect to x.
The derivative of sin y is
The derivative ofis
Step 4. Now, write y' in terms of x. You should get a fraction.
What is the numerator?
What is the denominator?
Transcribed Image Text:Find the derivative of y with respect to x without using the formula. Use y instead of to show ha differentiation. Use / for fraction, for exponent, and sqrt to show sin:³¹) Step 1. Rewrite as sin y- y sin Step 2. Draw your right triangle on paper illustrating the equation in Step 1. What algebraic expression determines the third side of the right triangle? Step 3. Differentiate both sides of the equation in Step 1 with respect to x. The derivative of sin y is The derivative ofis Step 4. Now, write y' in terms of x. You should get a fraction. What is the numerator? What is the denominator?
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