en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of y=(x-5)(x+3)(x+4)

Solution

derivative of

y = (x - 5) (x + 3) (x + 4)

Solution

3 x^{2} + 4 x - 23

Solution steps

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

Apply the Product Rule:

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

f = x - 5, g = (x + 3) (x + 4)

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

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

\frac{d}{d x} ((x + 3) (x + 4)) = 2 x + 7

= 1 \cdot (x + 3) (x + 4) + (2 x + 7) (x - 5)

Simplify

1 \cdot (x + 3) (x + 4) + (2 x + 7) (x - 5) : 3 x^{2} + 4 x - 23

= 3 x^{2} + 4 x - 23

Popular Examples

integral from 1 to 6 of xln(x)

\int_{1}^{6} x ln (x) d x

(\partial)/(\partial x)(sin(6x))

\frac{\partial}{\partial x} (sin (6 x))

slope ofintercept (46,381),(64,444)slope intercept

(46, 381), (64, 444)

(\partial)/(\partial x)(4y^2)

\frac{\partial}{\partial x} (4 y^{2})

tangent of y=5x^3-5x tangent of

y = 5 x^{3} - 5 x

Frequently Asked Questions (FAQ)

What is the derivative of y=(x-5)(x+3)(x+4) ?
The derivative of y=(x-5)(x+3)(x+4) is 3x^2+4x-23
What is the first derivative of y=(x-5)(x+3)(x+4) ?
The first derivative of y=(x-5)(x+3)(x+4) is 3x^2+4x-23