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Popular >

derivative of x^3-2x^2-4x+6

Solution

derivative of

x^{3} - 2 x^{2} - 4 x + 6

Solution

3 x^{2} - 4 x - 4

Solution steps

\frac{d}{d x} (x^{3} - 2 x^{2} - 4 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (4 x) + \frac{d}{d x} (6)

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

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

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

\frac{d}{d x} (6) = 0

= 3 x^{2} - 4 x - 4 + 0

Simplify

= 3 x^{2} - 4 x - 4

Popular Examples

y^{''}-2y^'=x+2e^x,y(0)=18,y^'(0)= 31/4

y^{^{''}} - 2 y^{^{'}} = x + 2 e^{x}, y (0) = 18, y^{^{'}} (0) = \frac{31}{4}

derivative of 2cos(x+3sin(x))

\frac{d}{d x} (2 cos (x) + 3 sin (x))

inverse oflaplace (s+3)/(s^2+2s+2)inverse laplace

\frac{s + 3}{s ^{2} + 2 s + 2}

tangent of 5x^2+8x-8 tangent of

5 x^{2} + 8 x - 8

d/(du)(sqrt(u))

\frac{d}{d u} (u)

Frequently Asked Questions (FAQ)

What is the derivative of x^3-2x^2-4x+6 ?
The derivative of x^3-2x^2-4x+6 is 3x^2-4x-4
What is the first derivative of x^3-2x^2-4x+6 ?
The first derivative of x^3-2x^2-4x+6 is 3x^2-4x-4