What is (\partial)/(\partial x)(3cos(x)-sin(xy)) ?

The answer to (\partial)/(\partial x)(3cos(x)-sin(xy)) is -3sin(x)-cos(xy)y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(3cos(x)-sin(xy))

\frac{\partial}{\partial x} (3 cos (x) - sin (x y))

- 3 sin (x) - cos (x y) y

Solution steps

\frac{\partial}{\partial x} (3 cos (x) - sin (x y))

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (3 cos (x)) - \frac{\partial}{\partial x} (sin (x y))

\frac{\partial}{\partial x} (3 cos (x)) = - 3 sin (x)

\frac{\partial}{\partial x} (sin (x y)) = cos (x y) y

= - 3 sin (x) - cos (x y) y

\int \frac{sin ( 2 x )}{( 1 - cos ^{2} ( x ) )} d x

x^{2} + 2 x - 1

\int \frac{9 ^{2 x + 5}}{3} d x

\int_{3}^{6} 1 + x^{4} + 2 x^{2} d x

\frac{d}{d x} ((x^{2} + 5 x - 6) (x^{3} + 5 x - 8))

What is (\partial)/(\partial x)(3cos(x)-sin(xy)) ?
The answer to (\partial)/(\partial x)(3cos(x)-sin(xy)) is -3sin(x)-cos(xy)y