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Popular >

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

Solution

derivative of

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

Solution

3 x^{2} - 10 x + 8

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} - 10 x + 8

= 3 x^{2} - 10 x + 8

Popular Examples

(dv)/(dt)=0.64-v/(29400)*8,v(0)=0

\frac{d v}{d t} = 0.64 - \frac{v}{29400} \cdot 8, v (0) = 0

laplacetransform cos(2(t+1))laplace transform

cos (2 (t + 1))

integral of (x^2-16x-1)/((x-1)^2(x^2+1))

\int \frac{x ^{2} - 16 x - 1}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

(\partial)/(\partial z)(xy+z^2)

\frac{\partial}{\partial z} (x y + z^{2})

(\partial)/(\partial x)(x^yln(x))

\frac{\partial}{\partial x} (x^{y} ln (x))

Frequently Asked Questions (FAQ)

What is the derivative of (x-2)^2(x-1) ?
The derivative of (x-2)^2(x-1) is 3x^2-10x+8
What is the first derivative of (x-2)^2(x-1) ?
The first derivative of (x-2)^2(x-1) is 3x^2-10x+8