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-2)^3+10

Solution

derivative of

f (x) = (x - 2)^{3} + 10

Solution

3 x^{2} - 12 x + 12

Solution steps

\frac{d}{d x} ((x - 2)^{3} + 10)

Simplify

(x - 2)^{3} + 10 : x^{3} - 6 x^{2} + 12 x + 2

= \frac{d}{d x} (x^{3} - 6 x^{2} + 12 x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (12 x) + \frac{d}{d x} (2)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (2) = 0

= 3 x^{2} - 12 x + 12 + 0

Simplify

= 3 x^{2} - 12 x + 12

Popular Examples

integral of (3x^2+2)sqrt(2x^3+4x+1)

\int (3 x^{2} + 2) 2 x^{3} + 4 x + 1 d x

derivative of f(x)=ln(xe^{-3x})derivative of

f (x) = ln (x e^{- 3 x})

integral of 1/(xln(2x))

\int \frac{1}{x ln ( 2 x )} d x

(d^2)/(dydx)(sin(x^2y^2))

\frac{d ^{2}}{d y d x} (sin (x^{2} y^{2}))

integral of x^2(x^3+9)^{10}

\int x^{2} (x^{3} + 9)^{10} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(x-2)^3+10 ?
The derivative of f(x)=(x-2)^3+10 is 3x^2-12x+12
What is the first derivative of f(x)=(x-2)^3+10 ?
The first derivative of f(x)=(x-2)^3+10 is 3x^2-12x+12