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Popular >

derivative of (x-2(x^2+4))

Solution

\frac{d}{d x} ((x - 2) (x^{2} + 4))

Solution

3 x^{2} - 4 x + 4

Solution steps

\frac{d}{d x} ((x - 2) (x^{2} + 4))

Apply the Product Rule:

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

f = x - 2, g = x^{2} + 4

= \frac{d}{d x} (x - 2) (x^{2} + 4) + \frac{d}{d x} (x^{2} + 4) (x - 2)

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

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

= 1 \cdot (x^{2} + 4) + 2 x (x - 2)

Simplify

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

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

Graph

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\int \frac{x}{9 x ^{2} + 675} d x

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x \to 1 - lim (\frac{3 + x}{x ^{2} - 1})

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Frequently Asked Questions (FAQ)

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