What is (d^2)/(dy^2)(cos(xy^2)) ?

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

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(d^2)/(dy^2)(cos(xy^2))

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

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

Solution steps

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

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

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

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

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

\int 5 x ln (3 x) d x

d er i v a t i v e f (x) = x (2 - x) (x + 3)

y^{^{'}} = 4 y + y^{4}, y (0) = 1

\frac{d}{d x} (- 15 sin (5 x))

x \to - 2 + lim (\frac{x - 1}{3 x + 6})

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