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

The derivative of (x^2-3x+2(2x^3+1)) is 10x^4-24x^3+12x^2+2x-3

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

The first derivative of (x^2-3x+2(2x^3+1)) is 10x^4-24x^3+12x^2+2x-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

10 x^{4} - 24 x^{3} + 12 x^{2} + 2 x - 3

Solution steps

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

Apply the Product Rule:

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

f = x^{2} - 3 x + 2, g = 2 x^{3} + 1

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

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

\frac{d}{d x} (2 x^{3} + 1) = 6 x^{2}

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

Simplify

(2 x - 3) (2 x^{3} + 1) + 6 x^{2} (x^{2} - 3 x + 2) : 10 x^{4} - 24 x^{3} + 12 x^{2} + 2 x - 3

= 10 x^{4} - 24 x^{3} + 12 x^{2} + 2 x - 3

\frac{d}{d x} (cos ((π x)^{8}))

\int 8 sin^{6} (x) cos (x) d x

y = arctan (cos (x))

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

\frac{\partial}{\partial y} (2 x^{3} y + cos (x^{2}))

What is the derivative of (x^2-3x+2(2x^3+1)) ?
The derivative of (x^2-3x+2(2x^3+1)) is 10x^4-24x^3+12x^2+2x-3
What is the first derivative of (x^2-3x+2(2x^3+1)) ?
The first derivative of (x^2-3x+2(2x^3+1)) is 10x^4-24x^3+12x^2+2x-3