What is (d^2)/(dx^2)(x^2cos(x)) ?

The answer to (d^2)/(dx^2)(x^2cos(x)) is 2cos(x)-4xsin(x)-x^2cos(x)

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(d^2)/(dx^2)(x^2cos(x))

\frac{d ^{2}}{d x ^{2}} (x^{2} cos (x))

2 cos (x) - 4 x sin (x) - x^{2} cos (x)

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{2} cos (x))

\frac{d}{d x} (x^{2} cos (x)) = 2 x cos (x) - x^{2} sin (x)

= \frac{d}{d x} (2 x cos (x) - x^{2} sin (x))

\frac{d}{d x} (2 x cos (x) - x^{2} sin (x)) = 2 cos (x) - 4 x sin (x) - x^{2} cos (x)

= 2 cos (x) - 4 x sin (x) - x^{2} cos (x)

What is (d^2)/(dx^2)(x^2cos(x)) ?
The answer to (d^2)/(dx^2)(x^2cos(x)) is 2cos(x)-4xsin(x)-x^2cos(x)