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)=x^3-12x^2+48x

Solution

derivative of

f (x) = x^{3} - 12 x^{2} + 48 x

Solution

3 x^{2} - 24 x + 48

Solution steps

\frac{d}{d x} (x^{3} - 12 x^{2} + 48 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (48 x)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (48 x) = 48

= 3 x^{2} - 24 x + 48

Popular Examples

y^{''}+2y^'-8y=xe^{-x}+e^{-x}

y^{^{''}} + 2 y^{^{'}} - 8 y = x e^{- x} + e^{- x}

(\partial)/(\partial x)(-u(x,y)cos(kx)sin(ky))

\frac{\partial}{\partial x} (- u (x, y) cos (k x) sin (k y))

derivative of 1/2 sec^2(x)

\frac{d}{d x} (\frac{1}{2} sec^{2} (x))

derivative of x^{2/3}-a^{2/3}

\frac{d}{d x} (x^{\frac{2}{3}} - a^{\frac{2}{3}})

integral from 0 to 1 of x^3sqrt(1-x^4)

\int_{0}^{1} x^{3} 1 - x^{4} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^3-12x^2+48x ?
The derivative of f(x)=x^3-12x^2+48x is 3x^2-24x+48
What is the first derivative of f(x)=x^3-12x^2+48x ?
The first derivative of f(x)=x^3-12x^2+48x is 3x^2-24x+48