What is the derivative of (3x-2)^3(8x^2+7)^3 ?

The derivative of (3x-2)^3(8x^2+7)^3 is 9(3x-2)^2(8x^2+7)^3+48x(8x^2+7)^2(3x-2)^3

What is the first derivative of (3x-2)^3(8x^2+7)^3 ?

The first derivative of (3x-2)^3(8x^2+7)^3 is 9(3x-2)^2(8x^2+7)^3+48x(8x^2+7)^2(3x-2)^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(3 x - 2)^{3} (8 x^{2} + 7)^{3}

9 (3 x - 2)^{2} (8 x^{2} + 7)^{3} + 48 x (8 x^{2} + 7)^{2} (3 x - 2)^{3}

Solution steps

\frac{d}{d x} ((3 x - 2)^{3} (8 x^{2} + 7)^{3})

Apply the Product Rule:

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

f = (3 x - 2)^{3}, g = (8 x^{2} + 7)^{3}

= \frac{d}{d x} ((3 x - 2)^{3}) (8 x^{2} + 7)^{3} + \frac{d}{d x} ((8 x^{2} + 7)^{3}) (3 x - 2)^{3}

\frac{d}{d x} ((3 x - 2)^{3}) = 9 (3 x - 2)^{2}

\frac{d}{d x} ((8 x^{2} + 7)^{3}) = 48 x (8 x^{2} + 7)^{2}

= 9 (3 x - 2)^{2} (8 x^{2} + 7)^{3} + 48 x (8 x^{2} + 7)^{2} (3 x - 2)^{3}

- \frac{1}{2} x^{3} + 2 x^{2} + \frac{15}{2} x - 9, [1, 6]

\int_{- 1}^{1} 4 - 4 x^{2} d x

\frac{d}{d x} (\frac{4 - 2 x - x ^{2}}{x ^{2} - 6})

x v^{'} + v = \frac{( 1 + 2 v )}{1 - v}

x^{4} ln (x)

What is the derivative of (3x-2)^3(8x^2+7)^3 ?
The derivative of (3x-2)^3(8x^2+7)^3 is 9(3x-2)^2(8x^2+7)^3+48x(8x^2+7)^2(3x-2)^3
What is the first derivative of (3x-2)^3(8x^2+7)^3 ?
The first derivative of (3x-2)^3(8x^2+7)^3 is 9(3x-2)^2(8x^2+7)^3+48x(8x^2+7)^2(3x-2)^3