What is (\partial)/(\partial x)(9cos(xy)x) ?

The answer to (\partial)/(\partial x)(9cos(xy)x) is 9(-xysin(xy)+cos(xy))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(9cos(xy)x)

\frac{\partial}{\partial x} (9 cos (x y) x)

9 (- x y sin (x y) + cos (x y))

Solution steps

\frac{\partial}{\partial x} (9 cos (x y) x)

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{\partial}{\partial x} (cos (x y) x)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = cos (x y), g = x

= 9 (\frac{\partial}{\partial x} (cos (x y)) x + \frac{\partial}{\partial x} (x) cos (x y))

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

\frac{\partial}{\partial x} (x) = 1

= 9 ((- sin (x y) y) x + 1 \cdot cos (x y))

Simplify

= 9 (- x y sin (x y) + cos (x y))

x^{^{''}} + k^{2} x = 0

sin^{2} (x^{2} - 1)

\int (e^{\frac{1}{x}}) d x

\int \frac{1}{x x ^{4} - 64} d x

\frac{d}{d x} (e^{2 \cdot (x - 1)})

What is (\partial)/(\partial x)(9cos(xy)x) ?
The answer to (\partial)/(\partial x)(9cos(xy)x) is 9(-xysin(xy)+cos(xy))