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))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(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

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

f (x) = x (2 - x) (x + 3)

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

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

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))