en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=4x^2sin(x)+2x

Solution

derivative of

f (x) = 4 x^{2} sin (x) + 2 x

Solution

4 (2 x sin (x) + cos (x) x^{2}) + 2

Solution steps

\frac{d}{d x} (4 x^{2} sin (x) + 2 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2} sin (x)) + \frac{d}{d x} (2 x)

\frac{d}{d x} (4 x^{2} sin (x)) = 4 (2 x sin (x) + cos (x) x^{2})

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

= 4 (2 x sin (x) + cos (x) x^{2}) + 2

Popular Examples

derivative of cos((1-e^{6x})/(1+e^{6x)})derivative of

cos (\frac{1 - e ^{6 x}}{1 + e ^{6 x}})

slope of (-9,3),(7,-7)slope

(- 9, 3), (7, - 7)

derivative of cos(e^{cot(x^2}))

\frac{d}{d x} (cos (e^{c o t (x^{2})}))

(\partial)/(\partial x)(x^2+1)

\frac{\partial}{\partial x} (x^{2} + 1)

integral of-x^2sin(y)

\int - x^{2} sin (y) d y

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4x^2sin(x)+2x ?
The derivative of f(x)=4x^2sin(x)+2x is 4(2xsin(x)+cos(x)x^2)+2
What is the first derivative of f(x)=4x^2sin(x)+2x ?
The first derivative of f(x)=4x^2sin(x)+2x is 4(2xsin(x)+cos(x)x^2)+2