The function satisfies exactly one of the following differential equations

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

Problem

The function

y(x)=x e^{x^{2}}

satisfies exactly one of the following differential equations. Which one is it? (a)

e^{x^{2}}

(b)

2x e^{x^{2}}

(c)

(1+2x^{2})e^{x^{2}}

(d)

(1+x^{2})e^{x^{2}}

Related theory

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

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