What is (\partial)/(\partial x)(e^x+sin(y)) ?

The answer to (\partial)/(\partial x)(e^x+sin(y)) is e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(e^x+sin(y))

\frac{\partial}{\partial x} (e^{x} + sin (y))

e^{x}

Solution steps

\frac{\partial}{\partial x} (e^{x} + sin (y))

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (e^{x}) + \frac{\partial}{\partial x} (sin (y))

\frac{\partial}{\partial x} (e^{x}) = e^{x}

\frac{\partial}{\partial x} (sin (y)) = 0

= e^{x} + 0

Simplify

= e^{x}

x \to 0 + lim (ln (sinh (x)))

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

f (x) = x + sin (x)

\frac{89 t}{99 t - 89}

\int_{0}^{5} \frac{1}{x ^{2}} d x

What is (\partial)/(\partial x)(e^x+sin(y)) ?
The answer to (\partial)/(\partial x)(e^x+sin(y)) is e^x