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Popular >

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

Solution

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

Solution

3 x^{2} - 8 x + 5

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

2 (x - 1) (x - 2) + 1 \cdot (x - 1)^{2} : 3 x^{2} - 8 x + 5

= 3 x^{2} - 8 x + 5

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(\partial)/(\partial x)(Q(x)0.5^{x/(35)})

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n = 0 \sum \infty \frac{n}{n ^{2} + 1}

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Frequently Asked Questions (FAQ)

What is the derivative of (x-1^2(x-2)) ?
The derivative of (x-1^2(x-2)) is 3x^2-8x+5
What is the first derivative of (x-1^2(x-2)) ?
The first derivative of (x-1^2(x-2)) is 3x^2-8x+5