en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^4-12x^3+48x^2-64x

Solution

\frac{d}{d x} (x^{4} - 12 x^{3} + 48 x^{2} - 64 x)

Solution

4 x^{3} - 36 x^{2} + 96 x - 64

Solution steps

\frac{d}{d x} (x^{4} - 12 x^{3} + 48 x^{2} - 64 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (12 x^{3}) + \frac{d}{d x} (48 x^{2}) - \frac{d}{d x} (64 x)

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

\frac{d}{d x} (12 x^{3}) = 36 x^{2}

\frac{d}{d x} (48 x^{2}) = 96 x

\frac{d}{d x} (64 x) = 64

= 4 x^{3} - 36 x^{2} + 96 x - 64

Popular Examples

integral of (x-1)/((2x+5)(x-8))

\int \frac{x - 1}{( 2 x + 5 ) ( x - 8 )} d x

integral of 1/(t^2sqrt(289-t^2))

\int \frac{1}{t ^{2} 289 - t ^{2}} d t

integral from-7 to 7 of 1/2 (49-x^2)

\int_{- 7}^{7} \frac{1}{2} (49 - x^{2}) d x

limit as t approaches pi of sin(t/2)

t \to π lim (sin (\frac{t}{2}))

integral of x/(\sqrt[3]{x+10)}

Frequently Asked Questions (FAQ)

What is the derivative of x^4-12x^3+48x^2-64x ?
The derivative of x^4-12x^3+48x^2-64x is 4x^3-36x^2+96x-64
What is the first derivative of x^4-12x^3+48x^2-64x ?
The first derivative of x^4-12x^3+48x^2-64x is 4x^3-36x^2+96x-64