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Popular >

derivative of (x^3/3-2x^2+3x)

Solution

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

Solution

x^{2} - 4 x + 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x^{2}) = 4 x

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

= x^{2} - 4 x + 3

Popular Examples

derivative of-(2x/((9+x^2)^2))

\frac{d}{d x} (- \frac{2 x}{( 9 + x ^{2} ) ^{2}})

(dx)/(dt)=12-x/(200+3t)

\frac{d x}{d t} = 12 - \frac{x}{200 + 3 t}

tangent of f(x)=x^3-3x^2-9x+27,\at x=4 tangent of

f (x) = x^{3} - 3 x^{2} - 9 x + 27, at x = 4

(\partial)/(\partial x)((3x+y^2)/(xy))

\frac{\partial}{\partial x} (\frac{3 x + y ^{2}}{x y})

integral of (5x^4-8x^3+9x^2-2x+7)

\int (5 x^{4} - 8 x^{3} + 9 x^{2} - 2 x + 7) d x

Frequently Asked Questions (FAQ)

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