What is the derivative of sqrt(e^xsin(x)) ?

The derivative of sqrt(e^xsin(x)) is (e^xsin(x)+e^xcos(x))/(2sqrt(e^xsin(x)))

What is the first derivative of sqrt(e^xsin(x)) ?

The first derivative of sqrt(e^xsin(x)) is (e^xsin(x)+e^xcos(x))/(2sqrt(e^xsin(x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{e ^{x} sin ( x ) + e ^{x} cos ( x )}{2 e ^{x} sin ( x )}

Solution steps

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

Apply the chain rule:

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

= \frac{1}{2 e ^{x} sin ( x )} \frac{d}{d x} (e^{x} sin (x))

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

= \frac{1}{2 e ^{x} sin ( x )} (e^{x} sin (x) + cos (x) e^{x})

Simplify

\frac{1}{2 e ^{x} sin ( x )} (e^{x} sin (x) + cos (x) e^{x}) : \frac{e ^{x} sin ( x ) + e ^{x} cos ( x )}{2 e ^{x} sin ( x )}

= \frac{e ^{x} sin ( x ) + e ^{x} cos ( x )}{2 e ^{x} sin ( x )}

y = sin (9 x) + sin^{2} (9 x), (0, 0)

\frac{d y}{d x} + x^{2} sec (y) = 0, y (0) = 1

\frac{d}{d x} (3 - 8 x)

\int \frac{2 x ^{2} + x + 3}{( x + 1 ) ( x ^{2} + 1 )} d x

4^{- x^{8}}

What is the derivative of sqrt(e^xsin(x)) ?
The derivative of sqrt(e^xsin(x)) is (e^xsin(x)+e^xcos(x))/(2sqrt(e^xsin(x)))
What is the first derivative of sqrt(e^xsin(x)) ?
The first derivative of sqrt(e^xsin(x)) is (e^xsin(x)+e^xcos(x))/(2sqrt(e^xsin(x)))