What is the derivative of y=e^xsin(2x) ?

The derivative of y=e^xsin(2x) is e^xsin(2x)+cos(2x)*2e^x

What is the first derivative of y=e^xsin(2x) ?

The first derivative of y=e^xsin(2x) is e^xsin(2x)+cos(2x)*2e^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = e^{x} sin (2 x)

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

Solution steps

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

Apply the Product Rule:

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

f = e^{x}, g = sin (2 x)

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

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

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

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

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

\int \frac{1}{5 x - 2} d x

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

\frac{d r}{d θ} = 8 (cos (\frac{θ}{3}))^{3}

x \to 0 + lim ((e^{x} + x)^{\frac{2}{x}})

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