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Popular >

derivative of (x-3(x^3-2))

Solution

\frac{d}{d x} ((x - 3) (x^{3} - 2))

Solution

4 x^{3} - 9 x^{2} - 2

Solution steps

\frac{d}{d x} ((x - 3) (x^{3} - 2))

Apply the Product Rule:

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

f = x - 3, g = x^{3} - 2

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

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

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

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

Simplify

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

= 4 x^{3} - 9 x^{2} - 2

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\frac{d}{d x} ((ln (5 x))^{2})

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\frac{\partial}{\partial x} ((90 - x)^{2} \cdot (x + 2))

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\int \frac{3}{2 x 9 x ^{2} - 1} d x

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\int_{1}^{4} \frac{1}{x - 4} d x

Frequently Asked Questions (FAQ)

What is the derivative of (x-3(x^3-2)) ?
The derivative of (x-3(x^3-2)) is 4x^3-9x^2-2
What is the first derivative of (x-3(x^3-2)) ?
The first derivative of (x-3(x^3-2)) is 4x^3-9x^2-2