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Popular >

derivative of x^3-4x^2-7x+8

Solution

derivative of

x^{3} - 4 x^{2} - 7 x + 8

Solution

3 x^{2} - 8 x - 7

Solution steps

\frac{d}{d x} (x^{3} - 4 x^{2} - 7 x + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (4 x^{2}) - \frac{d}{d x} (7 x) + \frac{d}{d x} (8)

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

\frac{d}{d x} (4 x^{2}) = 8 x

\frac{d}{d x} (7 x) = 7

\frac{d}{d x} (8) = 0

= 3 x^{2} - 8 x - 7 + 0

Simplify

= 3 x^{2} - 8 x - 7

Graph

Popular Examples

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\frac{d}{d x} (\frac{6 x}{x + 1})

(\partial)/(\partial y)(7ze^{xyz})

\frac{\partial}{\partial y} (7 z e^{x yz})

slope of g(x)=(-7e^x)/(5e^x-8)slope

g (x) = \frac{- 7 e ^{x}}{5 e ^{x} - 8}

derivative of sin(3x)

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

integral of (48)/(1-cos(6x))

\int \frac{48}{1 - cos ( 6 x )} d x

Frequently Asked Questions (FAQ)

What is the derivative of x^3-4x^2-7x+8 ?
The derivative of x^3-4x^2-7x+8 is 3x^2-8x-7
What is the first derivative of x^3-4x^2-7x+8 ?
The first derivative of x^3-4x^2-7x+8 is 3x^2-8x-7