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Popular >

derivative of x^3-3/2 x^2

Solution

\frac{d}{d x} (x^{3} - \frac{3}{2} x^{2})

Solution

3 x^{2} - 3 x

Solution steps

\frac{d}{d x} (x^{3} - \frac{3}{2} x^{2})

Simplify

x^{3} - \frac{3}{2} x^{2} : x^{3} - \frac{3 x ^{2}}{2}

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 3 x^{2} - 3 x

Popular Examples

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

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

laplacetransform e^{-2t}cos^2(t)laplace transform

e^{- 2 t} cos^{2} (t)

(\partial)/(\partial y)(24y^2-12x)

\frac{\partial}{\partial y} (24 y^{2} - 12 x)

(\partial)/(\partial x)(7Y(x))

\frac{\partial}{\partial x} (7 Y (x))

inverse oflaplace (-5)/(s(6(5s+1)))inverse laplace

\frac{- 5}{s ( 6 ( 5 s + 1 ) )}

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3/2 x^2 ?
The derivative of x^3-3/2 x^2 is 3x^2-3x
What is the first derivative of x^3-3/2 x^2 ?
The first derivative of x^3-3/2 x^2 is 3x^2-3x