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

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

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

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

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

Solution steps

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

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

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

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

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

\frac{d}{d t} (1 + \frac{y}{t})

\int (x + 3) 5 - x d x

f (x) = \frac{1}{x ^{\frac{1}{2}}}

\int \frac{162}{x ^{2} 81 - x ^{2}} d x

\int (cos (8 x)) d x

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