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)=8x^9-3x^6+12x^3

Solution

derivative of

f (x) = 8 x^{9} - 3 x^{6} + 12 x^{3}

Solution

72 x^{8} - 18 x^{5} + 36 x^{2}

Solution steps

\frac{d}{d x} (8 x^{9} - 3 x^{6} + 12 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x^{9}) - \frac{d}{d x} (3 x^{6}) + \frac{d}{d x} (12 x^{3})

\frac{d}{d x} (8 x^{9}) = 72 x^{8}

\frac{d}{d x} (3 x^{6}) = 18 x^{5}

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

= 72 x^{8} - 18 x^{5} + 36 x^{2}

Popular Examples

area y=4x-x^2,y=0 area

y = 4 x - x^{2}, y = 0

derivative of (X-1)e^X derivative of

(X - 1) e^{X}

implicit (dy)/(dx),4y^2+2=3x^2 implicit derivative

\frac{d y}{d x}, 4 y^{2} + 2 = 3 x^{2}

integral of (-1)/(x^2)

\int \frac{- 1}{x ^{2}} d x

integral of 1/(sqrt(x^2+2x+101))

\int \frac{1}{x ^{2} + 2 x + 101} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=8x^9-3x^6+12x^3 ?
The derivative of f(x)=8x^9-3x^6+12x^3 is 72x^8-18x^5+36x^2
What is the first derivative of f(x)=8x^9-3x^6+12x^3 ?
The first derivative of f(x)=8x^9-3x^6+12x^3 is 72x^8-18x^5+36x^2