en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x^2+2)(x-5)

Solution

derivative of

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

Solution

3 x^{2} - 10 x + 2

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (x - 5) = 1

= 2 x (x - 5) + 1 \cdot (x^{2} + 2)

Simplify

2 x (x - 5) + 1 \cdot (x^{2} + 2) : 3 x^{2} - 10 x + 2

= 3 x^{2} - 10 x + 2

Popular Examples

(\partial)/(\partial x)((x+1)^2+y^2-1)

\frac{\partial}{\partial x} ((x + 1)^{2} + y^{2} - 1)

limit as x approaches 2 of (x^2+2x-8)/(3x-6)

x \to 2 lim (\frac{x ^{2} + 2 x - 8}{3 x - 6})

derivative of \sqrt[3]{sin(x})

y^'+(2-x/(x-1))y=0

y^{^{'}} + (2 - \frac{x}{x - 1}) y = 0

limit as x approaches 1 of (In(x))/(x-1)

x \to 1 lim (\frac{I n ( x )}{x - 1})

Frequently Asked Questions (FAQ)

What is the derivative of (x^2+2)(x-5) ?
The derivative of (x^2+2)(x-5) is 3x^2-10x+2
What is the first derivative of (x^2+2)(x-5) ?
The first derivative of (x^2+2)(x-5) is 3x^2-10x+2