Derive a simplified formula for ( d dx [ (g(x))] ) in terms of (g(x) ) and (g'(x)

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

Problem

Derive a simplified formula for

\displaystyle \frac{d}{dx}[\sec(g(x))]

in terms of

g(x)

and

g'(x).

Related theory

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

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