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MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem Find d d x ( x 2 sin 3 x e x ) \dfrac{d}{dx}\left(\dfrac{x^{2}\sin 3x}{e^{x}}\right) d x d ( e x x 2 sin 3 x ) e − x [ 2 x sin 3 x + 3 x 2 cos 3 x + x 2 sin 3 x ] e^{-x}\bigl[2x\sin 3x + 3x^{2}\cos 3x + x^{2}\sin 3x\bigr] e − x [ 2 x sin 3 x + 3 x 2 cos 3 x + x 2 sin 3 x ] e − x [ 2 x sin 3 x + 3 x 2 cos 3 x − x 2 sin 3 x ] e^{-x}\bigl[2x\sin 3x + 3x^{2}\cos 3x - x^{2}\sin 3x\bigr] e − x [ 2 x sin 3 x + 3 x 2 cos 3 x − x 2 sin 3 x ] e x [ 2 x sin 3 x + 3 x 2 cos 3 x − x 2 sin 3 x ] e^{x}\bigl[2x\sin 3x + 3x^{2}\cos 3x - x^{2}\sin 3x\bigr] e x [ 2 x sin 3 x + 3 x 2 cos 3 x − x 2 sin 3 x ] e − x [ 2 x sin 3 x + 3 x 2 cos 3 x ] e^{-x}\bigl[2x\sin 3x + 3x^{2}\cos 3x\bigr] e − x [ 2 x sin 3 x + 3 x 2 cos 3 x ] Browse the problem library