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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![**Problem Statement:**
Find the derivative of \( s(q) = 10 \cos q \sin q \).
**Solution Space:**
\( s'(q) = \) [Input field]
**Instructions:**
To find the derivative of the function \( s(q) = 10 \cos q \sin q \), apply the product rule of differentiation. Recall that the product rule states:
\[
\frac{d}{dq}[u(q)v(q)] = u'(q)v(q) + u(q)v'(q)
\]
Let \( u(q) = \cos q \) and \( v(q) = \sin q \). Differentiate each function with respect to \( q \) and substitute into the formula to find \( s'(q) \).
After calculating \( s'(q) \), enter your solution in the provided input field.
**Additional Options:**
[Submit answer] - To check your solution after inputting it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6acc7099-89c3-4cde-aa7d-6eca9bf4997e%2F624f5499-3835-4747-9610-c83def81f974%2F92vqo3b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the derivative of \( s(q) = 10 \cos q \sin q \).
**Solution Space:**
\( s'(q) = \) [Input field]
**Instructions:**
To find the derivative of the function \( s(q) = 10 \cos q \sin q \), apply the product rule of differentiation. Recall that the product rule states:
\[
\frac{d}{dq}[u(q)v(q)] = u'(q)v(q) + u(q)v'(q)
\]
Let \( u(q) = \cos q \) and \( v(q) = \sin q \). Differentiate each function with respect to \( q \) and substitute into the formula to find \( s'(q) \).
After calculating \( s'(q) \), enter your solution in the provided input field.
**Additional Options:**
[Submit answer] - To check your solution after inputting it.
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