What is (\partial)/(\partial x)(sin(xye^{x^2})) ?

The answer to (\partial)/(\partial x)(sin(xye^{x^2})) is cos(xye^{x^2})y(e^{x^2}+2e^{x^2}x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(sin(xye^{x^2}))

\frac{\partial}{\partial x} (sin (x y e^{x^{2}}))

cos (x y e^{x^{2}}) y (e^{x^{2}} + 2 e^{x^{2}} x^{2})

Solution steps

\frac{\partial}{\partial x} (sin (x y e^{x^{2}}))

Treat

y

as a constant

Apply the chain rule:

cos (x y e^{x^{2}}) \frac{\partial}{\partial x} (x y e^{x^{2}})

= cos (x y e^{x^{2}}) \frac{\partial}{\partial x} (x y e^{x^{2}})

\frac{\partial}{\partial x} (x y e^{x^{2}}) = y (e^{x^{2}} + 2 e^{x^{2}} x^{2})

= cos (x y e^{x^{2}}) y (e^{x^{2}} + 2 e^{x^{2}} x^{2})

\int \frac{x ^{3}}{3} e^{x^{2}} d x

\frac{d}{d x} (30 x)

\int (x^{3} + 3 x + 8) e^{x} d x

x \to - \infty lim (x^{6} e^{x})

\frac{d}{d x} (ln (e^{- x}))

What is (\partial)/(\partial x)(sin(xye^{x^2})) ?
The answer to (\partial)/(\partial x)(sin(xye^{x^2})) is cos(xye^{x^2})y(e^{x^2}+2e^{x^2}x^2)