Explain in one sentence why instead of simply when is a differentiable function of .

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Explain in one sentence why

\frac{d}{dx}(\sec y)=\sec y\tan y\,\frac{dy}{dx}

instead of simply

\sec y\tan y

when

y

is a differentiable function of

x

Related theory

Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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