What is the derivative of f(x) = sec(x)?
Model Answer & Options
Source: Extra Practicetan^2(x)
sec(x) * tan(x)
-sec(x) * tan(x)
sec^2(x)
Explanation
The derivative of sec(x) is a standard trigonometric derivative derived from 1/cos(x) using the quotient rule, resulting in sec(x)tan(x). Option A is incorrect as it's unrelated. Option C is incorrect because the derivative of sec(x) is positive (unlike csc(x)). Option D is the derivative of tan(x), not sec(x).
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Test your skills on a similar concept: Units and Measurement - NCERT Class 11 Practice Set 1.
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