What is (d^2)/(dx^2)(3xsin(x^2)) ?

The answer to (d^2)/(dx^2)(3xsin(x^2)) is 3(6xcos(x^2)-4x^3sin(x^2))

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(d^2)/(dx^2)(3xsin(x^2))

\frac{d ^{2}}{d x ^{2}} (3 x sin (x^{2}))

3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))

Solution steps

\frac{d ^{2}}{d x ^{2}} (3 x sin (x^{2}))

\frac{d}{d x} (3 x sin (x^{2})) = 3 (sin (x^{2}) + 2 x^{2} cos (x^{2}))

= \frac{d}{d x} (3 (sin (x^{2}) + 2 x^{2} cos (x^{2})))

\frac{d}{d x} (3 (sin (x^{2}) + 2 x^{2} cos (x^{2}))) = 3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))

= 3 (6 x cos (x^{2}) - 4 x^{3} sin (x^{2}))

What is (d^2)/(dx^2)(3xsin(x^2)) ?
The answer to (d^2)/(dx^2)(3xsin(x^2)) is 3(6xcos(x^2)-4x^3sin(x^2))