en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^4-8x^3+4x^2+48x

Solution

\frac{d}{d x} (x^{4} - 8 x^{3} + 4 x^{2} + 48 x)

Solution

4 x^{3} - 24 x^{2} + 8 x + 48

Solution steps

\frac{d}{d x} (x^{4} - 8 x^{3} + 4 x^{2} + 48 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (8 x^{3}) + \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (48 x)

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

\frac{d}{d x} (8 x^{3}) = 24 x^{2}

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 4 x^{3} - 24 x^{2} + 8 x + 48

Graph

Popular Examples

(\partial}{\partial x}(xy+\frac{27)/x)

\frac{\partial}{\partial x} (x y + \frac{27}{x})

derivative of e^{5x+pii}

\frac{d}{d x} (e^{5 x + πi})

integral of (6+x^5)^25x^4

\int (6 + x^{5})^{2} 5 x^{4} d x

(\partial)/(\partial x)(-cos(2x))

\frac{\partial}{\partial x} (- cos (2 x))

(\partial)/(\partial x)(x^3+y^3-3x^2+3y^2)

\frac{\partial}{\partial x} (x^{3} + y^{3} - 3 x^{2} + 3 y^{2})

Frequently Asked Questions (FAQ)

What is the derivative of x^4-8x^3+4x^2+48x ?
The derivative of x^4-8x^3+4x^2+48x is 4x^3-24x^2+8x+48
What is the first derivative of x^4-8x^3+4x^2+48x ?
The first derivative of x^4-8x^3+4x^2+48x is 4x^3-24x^2+8x+48