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Popular >

derivative of 2x^3-3x^2-72x+108

Solution

derivative of

2 x^{3} - 3 x^{2} - 72 x + 108

Solution

6 x^{2} - 6 x - 72

Solution steps

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 72 x + 108)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (72 x) + \frac{d}{d x} (108)

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (72 x) = 72

\frac{d}{d x} (108) = 0

= 6 x^{2} - 6 x - 72 + 0

Simplify

= 6 x^{2} - 6 x - 72

Popular Examples

derivative of ln(((4-x))/(4+x))derivative of

ln (\frac{( 4 - x )}{4 + x})

integral of 2/(x+1)

\int \frac{2}{x + 1} d x

y^'=(xy^2-0.5sin(2x))/(y(1-x^2)),y(0)=2

y^{^{'}} = \frac{x y ^{2} - 0.5 sin ( 2 x )}{y ( 1 - x ^{2} )}, y (0) = 2

y^'=(t+y)^2-1,y(2)=6

y^{^{'}} = (t + y)^{2} - 1, y (2) = 6

derivative of ((x+2/(x-2))^5)

\frac{d}{d x} ((\frac{x + 2}{x - 2})^{5})

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3-3x^2-72x+108 ?
The derivative of 2x^3-3x^2-72x+108 is 6x^2-6x-72
What is the first derivative of 2x^3-3x^2-72x+108 ?
The first derivative of 2x^3-3x^2-72x+108 is 6x^2-6x-72