en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-x^4-6x^3+8x-6

Solution

derivative of

- x^{4} - 6 x^{3} + 8 x - 6

Solution

- 4 x^{3} - 18 x^{2} + 8

Solution steps

\frac{d}{d x} (- x^{4} - 6 x^{3} + 8 x - 6)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{4}) - \frac{d}{d x} (6 x^{3}) + \frac{d}{d x} (8 x) - \frac{d}{d x} (6)

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

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (6) = 0

= - 4 x^{3} - 18 x^{2} + 8 - 0

Simplify

= - 4 x^{3} - 18 x^{2} + 8

Popular Examples

derivative of x^2arctan(x^3)

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

tangent of x^3+4x^2+7x+1 tangent of

x^{3} + 4 x^{2} + 7 x + 1

sum from n=2 to infinity of 6/(7^n)

n = 2 \sum \infty \frac{6}{7 ^{n}}

limit as x approaches-3 of (2x)/(x^2+4)

x \to - 3 lim (\frac{2 x}{x ^{2} + 4})

x y^{^{'}} - 2 y = 2 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of-x^4-6x^3+8x-6 ?
The derivative of-x^4-6x^3+8x-6 is -4x^3-18x^2+8
What is the first derivative of-x^4-6x^3+8x-6 ?
The first derivative of-x^4-6x^3+8x-6 is -4x^3-18x^2+8