en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x-1^2(x+3))

Solution

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

Solution

3 x^{2} + 2 x - 5

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

= 3 x^{2} + 2 x - 5

Popular Examples

derivative of mx+b derivative of

m x + b

(\partial)/(\partial x)(-ksqrt(p(x)gx+A))

\frac{\partial}{\partial x} (- k p (x) gx + A)

integral from 0 to 2 of a^{x/2}

\int_{0}^{2} a^{\frac{x}{2}} d x

integral of-9/x

\int - \frac{9}{x} d x

integral from 1 to 5 of (x^2+7)/(6x-x^2)

\int_{1}^{5} \frac{x ^{2} + 7}{6 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of (x-1^2(x+3)) ?
The derivative of (x-1^2(x+3)) is 3x^2+2x-5
What is the first derivative of (x-1^2(x+3)) ?
The first derivative of (x-1^2(x+3)) is 3x^2+2x-5