If , , and , then find the value of…

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

Problem

y = f(x^3)

z = g(x^5)

f'(x) = \tan x

and

g'(x) = \sec x

, then find the value of

\lim_{x \to 0} \frac{dy}{dz}

Related theory

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

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