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Popular >

derivative of 2x^3-3x^2-36x+5

Solution

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 36 x + 5)

Solution

6 x^{2} - 6 x - 36

Solution steps

\frac{d}{d x} (2 x^{3} - 3 x^{2} - 36 x + 5)

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} (36 x) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (36 x) = 36

\frac{d}{d x} (5) = 0

= 6 x^{2} - 6 x - 36 + 0

Simplify

= 6 x^{2} - 6 x - 36

Popular Examples

integral from 0 to 1 of 5x^4e^{-x}

\int_{0}^{1} 5 x^{4} e^{- x} d x

integral of 4/(x^2-14x+49)

\int \frac{4}{x ^{2} - 14 x + 49} d x

(\partial)/(\partial x)(cos^2(5x))

\frac{\partial}{\partial x} (cos^{2} (5 x))

derivative of x^{-3/7}

\frac{d}{d x} (x^{- \frac{3}{7}})

5y^{''}+y^'=-6x,y(0)=0,y^'(0)=-20

5 y^{^{''}} + y^{^{'}} = - 6 x, y (0) = 0, y^{^{'}} (0) = - 20

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3-3x^2-36x+5 ?
The derivative of 2x^3-3x^2-36x+5 is 6x^2-6x-36
What is the first derivative of 2x^3-3x^2-36x+5 ?
The first derivative of 2x^3-3x^2-36x+5 is 6x^2-6x-36