AP Calculus ABeasymcq1 pt

If $g(\theta) = \sec(\theta) + \csc(\theta)$ , what is $g'(\theta)$ ?

\sec(\theta)\tan(\theta) - \csc(\theta)\cot(\theta)

\sec(\theta)\tan(\theta) + \csc(\theta)\cot(\theta)

\tan(\theta) - \cot(\theta)

\sec(\theta)\cot(\theta) - \csc(\theta)\tan(\theta)

Explanation

Core Concept

The derivative of the secant function is $\sec(\theta)\tan(\theta)$ and the derivative of the cosecant function is $-\csc(\theta)\cot(\theta)$ . Adding these derivatives together yields the correct result.

Correct Answer

A $\sec(\theta)\tan(\theta) - \csc(\theta)\cot(\theta)$

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Practice Unit 2: Differentiation: Definition and Basic Derivative Rules Questions →

If g(θ)=sec⁡(θ)+csc⁡(θ)g(\theta) = \sec(\theta) + \csc(\theta)g(θ)=sec(θ)+csc(θ), what is g′(θ)g'(\theta)g′(θ)?

Explanation

Core Concept

Correct Answer

More Unit 2: Differentiation: Definition and Basic Derivative Rules practice questions

If $g(\theta) = \sec(\theta) + \csc(\theta)$ , what is $g'(\theta)$ ?