Consider . Determine for an arbitrary positive integer , writing your answer as a…

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

Problem

Consider

F(x)=x^{2}e^{5x}

. Determine

F^{(n)}(x)

for an arbitrary positive integer

n

, writing your answer as a polynomial in

x

multiplied by

e^{5x}

Related theory

Differentiation Rules
Higher-Order Derivatives
Advanced Differentiation
Second order derivatives
Continuity and Differentiability

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