What is the derivative of x^2sin(2x) ?

The derivative of x^2sin(2x) is 2xsin(2x)+cos(2x)*2x^2

What is the first derivative of x^2sin(2x) ?

The first derivative of x^2sin(2x) is 2xsin(2x)+cos(2x)*2x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{2} sin (2 x)

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

x \to 7 lim (sin (\frac{π x}{2}))

x - 6

\int \frac{sin ( 4 x )}{cos ( 2 x )} d x

y = - x^{2} + 4 x, y = x^{2} - 2 x

x \to + 0 + lim (arctan (x))

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