What is the derivative of y=sin(xy) ?

The derivative of y=sin(xy) is cos(xy)y

What is the first derivative of y=sin(xy) ?

The first derivative of y=sin(xy) is cos(xy)y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = sin (x y)

cos (x y) y

Solution steps

\frac{d}{d x} (sin (x y))

Treat

y

as a constant

Apply the chain rule:

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

= cos (x y) \frac{d}{d x} (x y)

\frac{d}{d x} (x y) = y

= cos (x y) y

\frac{\partial}{\partial t} (x ln (t))

\int cos^{3} (\frac{x}{10}) d x

\int sin^{4} (4 x) d x

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

x y^{^{'}} - y^{^{'}} - (x - 1) cos (x) + y = 0

What is the derivative of y=sin(xy) ?
The derivative of y=sin(xy) is cos(xy)y
What is the first derivative of y=sin(xy) ?
The first derivative of y=sin(xy) is cos(xy)y