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Popular >

derivative of f(x)=(3x^3-2)(x+1)

Solution

derivative of

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

Solution

12 x^{3} + 9 x^{2} - 2

Solution steps

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

Apply the Product Rule:

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

f = 3 x^{3} - 2, g = x + 1

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

\frac{d}{d x} (3 x^{3} - 2) = 9 x^{2}

\frac{d}{d x} (x + 1) = 1

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

Simplify

9 x^{2} (x + 1) + 1 \cdot (3 x^{3} - 2) : 12 x^{3} + 9 x^{2} - 2

= 12 x^{3} + 9 x^{2} - 2

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n = 0 \sum \infty \frac{n ^{4}}{4 ^{n}}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(3x^3-2)(x+1) ?
The derivative of f(x)=(3x^3-2)(x+1) is 12x^3+9x^2-2
What is the first derivative of f(x)=(3x^3-2)(x+1) ?
The first derivative of f(x)=(3x^3-2)(x+1) is 12x^3+9x^2-2