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

The answer to (d^2)/(dx^2)(sin(3x^2+2)) is 6(-6x^2sin(3x^2+2)+cos(3x^2+2))

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(d^2)/(dx^2)(sin(3x^2+2))

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

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

Solution steps

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

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

= \frac{d}{d x} (cos (3 x^{2} + 2) \cdot 6 x)

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

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

What is (d^2)/(dx^2)(sin(3x^2+2)) ?
The answer to (d^2)/(dx^2)(sin(3x^2+2)) is 6(-6x^2sin(3x^2+2)+cos(3x^2+2))