en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4x^3-56x^2+196x

Solution

derivative of

4 x^{3} - 56 x^{2} + 196 x

Solution

12 x^{2} - 112 x + 196

Solution steps

\frac{d}{d x} (4 x^{3} - 56 x^{2} + 196 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (56 x^{2}) + \frac{d}{d x} (196 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (56 x^{2}) = 112 x

\frac{d}{d x} (196 x) = 196

= 12 x^{2} - 112 x + 196

Popular Examples

integral of 1/((sin(x)+cos(x))^2)

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

integral of 2x^3e^{-2x}

\int 2 x^{3} e^{- 2 x} d x

limit as x approaches pi/4 of (cos(2x))/(sqrt(2)cos(x)-1)

x \to \frac{π}{4} lim (\frac{cos ( 2 x )}{2 cos ( x ) - 1})

cos^2(x)sin(x)dy+(ycos^3(x)-1)dx=0

cos^{2} (x) sin (x) d y + (y cos^{3} (x) - 1) d x = 0

x^2(dy)/(dx)+2xy=5y^3

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-56x^2+196x ?
The derivative of 4x^3-56x^2+196x is 12x^2-112x+196
What is the first derivative of 4x^3-56x^2+196x ?
The first derivative of 4x^3-56x^2+196x is 12x^2-112x+196