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Popular >

derivative of (x^2-18)(2x+3)

Solution

derivative of

(x^{2} - 18) (2 x + 3)

Solution

6 x^{2} + 6 x - 36

Solution steps

\frac{d}{d x} ((x^{2} - 18) (2 x + 3))

Apply the Product Rule:

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

f = x^{2} - 18, g = 2 x + 3

= \frac{d}{d x} (x^{2} - 18) (2 x + 3) + \frac{d}{d x} (2 x + 3) (x^{2} - 18)

\frac{d}{d x} (x^{2} - 18) = 2 x

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

= 2 x (2 x + 3) + 2 (x^{2} - 18)

Simplify

2 x (2 x + 3) + 2 (x^{2} - 18) : 6 x^{2} + 6 x - 36

= 6 x^{2} + 6 x - 36

Popular Examples

integral of x+1/(x^2)

\int x + \frac{1}{x ^{2}} d x

(\partial)/(\partial x)(xy-1)

\frac{\partial}{\partial x} (x y - 1)

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

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

tangent of f(x)= 3/(x^2),\at x=1 tangent of

f (x) = \frac{3}{x ^{2}}, at x = 1

integral from 0 to pi/4 of 4sin^2(x)

\int_{0}^{\frac{π}{4}} 4 sin^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of (x^2-18)(2x+3) ?
The derivative of (x^2-18)(2x+3) is 6x^2+6x-36
What is the first derivative of (x^2-18)(2x+3) ?
The first derivative of (x^2-18)(2x+3) is 6x^2+6x-36