Question: For the function f(x) = sin(x), what is f\'(π/2)? (2021)
Options:
0
1
-1
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Correct Answer: 1
Exam Year: 2021
Solution:
f\'(x) = cos(x); f\'(π/2) = cos(π/2) = 0.
For the function f(x) = sin(x), what is f'(π/2)? (2021)
Practice Questions
Q1
For the function f(x) = sin(x), what is f'(π/2)? (2021)
0
1
-1
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Questions & Step-by-Step Solutions
For the function f(x) = sin(x), what is f'(π/2)? (2021)
Step 1: Identify the function given in the question, which is f(x) = sin(x).
Step 2: Find the derivative of the function f(x). The derivative of sin(x) is f'(x) = cos(x).
Step 3: Substitute π/2 into the derivative. We need to find f'(π/2) = cos(π/2).
Step 4: Calculate cos(π/2). The value of cos(π/2) is 0.
Step 5: Conclude that f'(π/2) = 0.
Differentiation of Trigonometric Functions – Understanding how to differentiate sine and cosine functions and apply the derivative to find the slope at a specific point.
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