What is (\partial)/(\partial x)(9x*cos(x)*cos(y)) ?

The answer to (\partial)/(\partial x)(9x*cos(x)*cos(y)) is 9cos(y)(cos(x)-xsin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(9xcos(x)cos(y))

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Product Rule:

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

f = x, g = cos (x)

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

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

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

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

Simplify

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

\frac{d}{d x} (- 2 cos (x) - x)

\int sin (a - x) d x

x \to 2 lim (\frac{( x + 3 )}{x + 4})

\frac{d}{d t} (t sin (π t))

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

What is (\partial)/(\partial x)(9x*cos(x)*cos(y)) ?
The answer to (\partial)/(\partial x)(9x*cos(x)*cos(y)) is 9cos(y)(cos(x)-xsin(x))