What is (\partial)/(\partial x)(sin(2x)+cos(3y)) ?

The answer to (\partial)/(\partial x)(sin(2x)+cos(3y)) is 2cos(2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(sin(2x)+cos(3y))

\frac{\partial}{\partial x} (sin (2 x) + cos (3 y))

2 cos (2 x)

Solution steps

\frac{\partial}{\partial x} (sin (2 x) + cos (3 y))

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (sin (2 x)) + \frac{\partial}{\partial x} (cos (3 y))

\frac{\partial}{\partial x} (sin (2 x)) = cos (2 x) \cdot 2

\frac{\partial}{\partial x} (cos (3 y)) = 0

= cos (2 x) \cdot 2 + 0

Simplify

= 2 cos (2 x)

e^{x} (1)

\frac{d y}{d x} = 8 - 2 x

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

\int \frac{cos ( u )}{u} d u

\frac{\partial}{\partial x} (x e^{19 x y})

What is (\partial)/(\partial x)(sin(2x)+cos(3y)) ?
The answer to (\partial)/(\partial x)(sin(2x)+cos(3y)) is 2cos(2x)