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Popular >

derivative of 4x(x^2-2)

Solution

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

Solution

4 (3 x^{2} - 2)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

= 4 (3 x^{2} - 2)

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\int (cos (8 x) - csc^{2} (x)) d x

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\frac{d}{d x} (x e^{s i n (x)})

Frequently Asked Questions (FAQ)

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