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Popular >

derivative of 1-2x+3x^2-4x^3

Solution

\frac{d}{d x} (1 - 2 x + 3 x^{2} - 4 x^{3})

Solution

- 12 x^{2} + 6 x - 2

Solution steps

\frac{d}{d x} (1 - 2 x + 3 x^{2} - 4 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (2 x) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (1) = 0

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

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= 0 - 2 + 6 x - 12 x^{2}

Simplify

= - 12 x^{2} + 6 x - 2

Popular Examples

integral of e^{0.2x}

\int e^{0.2 x} d x

y^{''}-9y^'=81t,y(0)=9,y^'(0)=0

y^{^{''}} - 9 y^{^{'}} = 81 t, y (0) = 9, y^{^{'}} (0) = 0

integral of (-3)/(7e^{7x)}

\int \frac{- 3}{7 e ^{7 x}} d x

derivative of 2/(e^x-e^{-x})

\frac{d}{d x} (\frac{2}{e ^{x} - e ^{- x}})

area y=4x,y=3x^2 area

y = 4 x, y = 3 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of 1-2x+3x^2-4x^3 ?
The derivative of 1-2x+3x^2-4x^3 is -12x^2+6x-2
What is the first derivative of 1-2x+3x^2-4x^3 ?
The first derivative of 1-2x+3x^2-4x^3 is -12x^2+6x-2