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Popular >

derivative of x(x-2^2)

Solution

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

Solution

3 x^{2} - 8 x + 4

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d x}{d x} = 1

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

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

Simplify

1 \cdot (x - 2)^{2} + 2 (x - 2) x : 3 x^{2} - 8 x + 4

= 3 x^{2} - 8 x + 4

Graph

Popular Examples

inverse oflaplace 1/(s^2+4s+20)inverse laplace

\frac{1}{s ^{2} + 4 s + 20}

y^'=10^{-21}*y^3

y^{^{'}} = 1 0^{- 21} \cdot y^{3}

integral from-1 to 0 of (x^3)/(x^2-2x+1)

\int_{- 1}^{0} \frac{x ^{3}}{x ^{2} - 2 x + 1} d x

integral of 1/((6-y^2)^{3/2)}

\int \frac{1}{( 6 - y ^{2} ) ^{\frac{3}{2}}} d y

x^3y^{'''}-x^2y^{''}+2xy^'-2y=x^3

x^{3} y^{^{'''}} - x^{2} y^{^{''}} + 2 x y^{^{'}} - 2 y = x^{3}

Frequently Asked Questions (FAQ)

What is the derivative of x(x-2^2) ?
The derivative of x(x-2^2) is 3x^2-8x+4
What is the first derivative of x(x-2^2) ?
The first derivative of x(x-2^2) is 3x^2-8x+4