What is the derivative of (4x^2+5)(4x-3) ?

The derivative of (4x^2+5)(4x-3) is 48x^2-24x+20

What is the first derivative of (4x^2+5)(4x-3) ?

The first derivative of (4x^2+5)(4x-3) is 48x^2-24x+20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(4 x^{2} + 5) (4 x - 3)

48 x^{2} - 24 x + 20

Solution steps

\frac{d}{d x} ((4 x^{2} + 5) (4 x - 3))

Apply the Product Rule:

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

f = 4 x^{2} + 5, g = 4 x - 3

= \frac{d}{d x} (4 x^{2} + 5) (4 x - 3) + \frac{d}{d x} (4 x - 3) (4 x^{2} + 5)

\frac{d}{d x} (4 x^{2} + 5) = 8 x

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

= 8 x (4 x - 3) + 4 (4 x^{2} + 5)

Simplify

8 x (4 x - 3) + 4 (4 x^{2} + 5) : 48 x^{2} - 24 x + 20

= 48 x^{2} - 24 x + 20

\frac{7}{s ^{2} - 9}

\int_{- 1}^{1} f (x) d x

\int (2 x - x^{2}) d x

x \to 0 lim ([x^{2}] - [x^{3}])

\frac{d}{d x} ((- 1)^{x})

What is the derivative of (4x^2+5)(4x-3) ?
The derivative of (4x^2+5)(4x-3) is 48x^2-24x+20
What is the first derivative of (4x^2+5)(4x-3) ?
The first derivative of (4x^2+5)(4x-3) is 48x^2-24x+20