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What is the derivative of f(x) = tan(x)?
What is the derivative of f(x) = tan(x)?
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Practice Questions
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Q1
What is the derivative of f(x) = tan(x)?
sec^2(x)
csc^2(x)
sec(x)
tan^2(x)
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The derivative of tan(x) is sec^2(x).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the derivative of f(x) = tan(x)?
Solution:
The derivative of tan(x) is sec^2(x).
Steps: 4
Show Steps
Step 1: Understand that we want to find the derivative of the function f(x) = tan(x).
Step 2: Recall the definition of the derivative, which measures how a function changes as its input changes.
Step 3: Use the known derivative rule for the tangent function, which states that the derivative of tan(x) is sec^2(x).
Step 4: Write down the result: The derivative of f(x) = tan(x) is f'(x) = sec^2(x).
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