What is the derivative of x^3(2x-1)^7 ?

The derivative of x^3(2x-1)^7 is 3x^2(2x-1)^7+14(2x-1)^6x^3

What is the first derivative of x^3(2x-1)^7 ?

The first derivative of x^3(2x-1)^7 is 3x^2(2x-1)^7+14(2x-1)^6x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{3} (2 x - 1)^{7}

3 x^{2} (2 x - 1)^{7} + 14 (2 x - 1)^{6} x^{3}

Solution steps

\frac{d}{d x} (x^{3} (2 x - 1)^{7})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = (2 x - 1)^{7}

= \frac{d}{d x} (x^{3}) (2 x - 1)^{7} + \frac{d}{d x} ((2 x - 1)^{7}) x^{3}

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

\frac{d}{d x} ((2 x - 1)^{7}) = 14 (2 x - 1)^{6}

= 3 x^{2} (2 x - 1)^{7} + 14 (2 x - 1)^{6} x^{3}

x \to 0 lim (x + 2)

1 + x

\int x^{3} - 9 x d x

\frac{d}{d x} (sin (x + 3) + (- cos (x - \frac{1}{2})))

\int_{- 2}^{- 1} 6 x^{- 3} d x

What is the derivative of x^3(2x-1)^7 ?
The derivative of x^3(2x-1)^7 is 3x^2(2x-1)^7+14(2x-1)^6x^3
What is the first derivative of x^3(2x-1)^7 ?
The first derivative of x^3(2x-1)^7 is 3x^2(2x-1)^7+14(2x-1)^6x^3