What is the derivative of f(x)=e^xsin(x)+cos(x)e^x ?

The derivative of f(x)=e^xsin(x)+cos(x)e^x is 2e^xcos(x)

What is the first derivative of f(x)=e^xsin(x)+cos(x)e^x ?

The first derivative of f(x)=e^xsin(x)+cos(x)e^x is 2e^xcos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = e^{x} sin (x) + cos (x) e^{x}

2 e^{x} cos (x)

Solution steps

\frac{d}{d x} (e^{x} sin (x) + cos (x) e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x} sin (x)) + \frac{d}{d x} (cos (x) e^{x})

\frac{d}{d x} (e^{x} sin (x)) = e^{x} sin (x) + cos (x) e^{x}

\frac{d}{d x} (cos (x) e^{x}) = - e^{x} sin (x) + e^{x} cos (x)

= e^{x} sin (x) + cos (x) e^{x} - e^{x} sin (x) + e^{x} cos (x)

Simplify

= 2 e^{x} cos (x)

y = arccos (x)

\frac{1}{8 s + 1}

\int 5 t e^{5 t} d t

\frac{d y}{d x} = 2 (y^{2} - y) x

y = e^{(3 - x)}

What is the derivative of f(x)=e^xsin(x)+cos(x)e^x ?
The derivative of f(x)=e^xsin(x)+cos(x)e^x is 2e^xcos(x)
What is the first derivative of f(x)=e^xsin(x)+cos(x)e^x ?
The first derivative of f(x)=e^xsin(x)+cos(x)e^x is 2e^xcos(x)