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Popular >

derivative of (x+1)^3(x-1)

Solution

derivative of

(x + 1)^{3} (x - 1)

Solution

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

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x \to 6 lim (\frac{x ^{2} - 1}{x - 6})

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\frac{\partial}{\partial x} (10 y + x - z (x y - 121))

Frequently Asked Questions (FAQ)

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