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Popular >

derivative of (x-4)(x+5)(x+4)

Solution

derivative of

(x - 4) (x + 5) (x + 4)

Solution

3 x^{2} + 10 x - 16

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d}{d x} (x - 4) = 1

\frac{d}{d x} ((x + 5) (x + 4)) = 2 x + 9

= 1 \cdot (x + 5) (x + 4) + (2 x + 9) (x - 4)

Simplify

1 \cdot (x + 5) (x + 4) + (2 x + 9) (x - 4) : 3 x^{2} + 10 x - 16

= 3 x^{2} + 10 x - 16

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\int - \frac{1}{2 - x} d x

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Frequently Asked Questions (FAQ)

What is the derivative of (x-4)(x+5)(x+4) ?
The derivative of (x-4)(x+5)(x+4) is 3x^2+10x-16
What is the first derivative of (x-4)(x+5)(x+4) ?
The first derivative of (x-4)(x+5)(x+4) is 3x^2+10x-16