For , answer the…

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

For

y=\sin(5x^{3})

, answer the following: (i) Find

\dfrac{dy}{dx}

. (ii) Hence find

\dfrac{d^{2}y}{dx^{2}}

Related theory

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

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