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Popular >

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

Solution

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

Solution

18 x^{2} + 2 x - 2

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} ((2 x - 1) (3 x + 2)) = 12 x + 1

= 1 \cdot (2 x - 1) (3 x + 2) + (12 x + 1) x

Simplify

1 \cdot (2 x - 1) (3 x + 2) + (12 x + 1) x : 18 x^{2} + 2 x - 2

= 18 x^{2} + 2 x - 2

Popular Examples

integral of (tan^3(ln(x)))/(9x)

\int \frac{tan ^{3} ( ln ( x ) )}{9 x} d x

derivative of 5-6x

\frac{d}{d x} (5 - 6 x)

integral from 1 to 5e of 1/x

\int_{1}^{5 e} \frac{1}{x} d x

sum from n=1 to infinity of n/(5n+1)

n = 1 \sum \infty \frac{n}{5 n + 1}

simplify ln(k/l)simplify

ln (\frac{k}{l})

Frequently Asked Questions (FAQ)

What is the derivative of x(2x-1(3x+2)) ?
The derivative of x(2x-1(3x+2)) is 18x^2+2x-2
What is the first derivative of x(2x-1(3x+2)) ?
The first derivative of x(2x-1(3x+2)) is 18x^2+2x-2