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Popular >

derivative of (x+2^2(x-1))

Solution

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

Solution

3 x^{2} + 6 x

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

2 (x + 2) (x - 1) + 1 \cdot (x + 2)^{2} : 3 x^{2} + 6 x

= 3 x^{2} + 6 x

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Frequently Asked Questions (FAQ)

What is the derivative of (x+2^2(x-1)) ?
The derivative of (x+2^2(x-1)) is 3x^2+6x
What is the first derivative of (x+2^2(x-1)) ?
The first derivative of (x+2^2(x-1)) is 3x^2+6x