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Popular >

derivative of (x^2-12)(2x-9)

Solution

derivative of

(x^{2} - 12) (2 x - 9)

Solution

6 x^{2} - 18 x - 24

Solution steps

\frac{d}{d x} ((x^{2} - 12) (2 x - 9))

Apply the Product Rule:

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

f = x^{2} - 12, g = 2 x - 9

= \frac{d}{d x} (x^{2} - 12) (2 x - 9) + \frac{d}{d x} (2 x - 9) (x^{2} - 12)

\frac{d}{d x} (x^{2} - 12) = 2 x

\frac{d}{d x} (2 x - 9) = 2

= 2 x (2 x - 9) + 2 (x^{2} - 12)

Simplify

2 x (2 x - 9) + 2 (x^{2} - 12) : 6 x^{2} - 18 x - 24

= 6 x^{2} - 18 x - 24

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\int x^{2} \cdot e^{5 x} d x

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n = - 1 \sum \infty (\frac{1}{2})^{n}

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\int_{- \infty}^{0} \frac{1}{7 - 10 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of (x^2-12)(2x-9) ?
The derivative of (x^2-12)(2x-9) is 6x^2-18x-24
What is the first derivative of (x^2-12)(2x-9) ?
The first derivative of (x^2-12)(2x-9) is 6x^2-18x-24