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Find the derivative of f(x) = tan(x).
Find the derivative of f(x) = tan(x).
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Practice Questions
1 question
Q1
Find the derivative of f(x) = tan(x).
sec^2(x)
csc^2(x)
sin^2(x)
cos^2(x)
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The derivative f'(x) = d/dx(tan(x)) = sec^2(x).
Questions & Step-by-step Solutions
1 item
Q
Q: Find the derivative of f(x) = tan(x).
Solution:
The derivative f'(x) = d/dx(tan(x)) = sec^2(x).
Steps: 5
Show Steps
Step 1: Understand that we want to find the derivative of the function f(x) = tan(x).
Step 2: Recall the basic rule for finding the derivative of the tangent function.
Step 3: The derivative of tan(x) is a known result in calculus.
Step 4: Write down the derivative: f'(x) = sec^2(x).
Step 5: Conclude that the derivative of f(x) = tan(x) is f'(x) = sec^2(x).
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