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Popular >

derivative of 920+2x-0.2x^2+0.7x^3

Solution

\frac{d}{d x} (920 + 2 x - 0.2 x^{2} + 0.7 x^{3})

Solution

2.1 x^{2} - 0.4 x + 2

Solution steps

\frac{d}{d x} (920 + 2 x - 0.2 x^{2} + 0.7 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (920) + \frac{d}{d x} (2 x) - \frac{d}{d x} (0.2 x^{2}) + \frac{d}{d x} (0.7 x^{3})

\frac{d}{d x} (920) = 0

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

\frac{d}{d x} (0.2 x^{2}) = 0.4 x

\frac{d}{d x} (0.7 x^{3}) = 2.1 x^{2}

= 0 + 2 - 0.4 x + 2.1 x^{2}

Simplify

= 2.1 x^{2} - 0.4 x + 2

Popular Examples

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slope of-3x^2+4x+4 slope

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

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x \to 1 - lim (\frac{x ^{2} + 1}{x - 1})

tangent of y=(-8x)/(x^2+1),(0,0)tangent of

y = \frac{- 8 x}{x ^{2} + 1}, (0, 0)

Frequently Asked Questions (FAQ)

What is the derivative of 920+2x-0.2x^2+0.7x^3 ?
The derivative of 920+2x-0.2x^2+0.7x^3 is 2.1x^2-0.4x+2
What is the first derivative of 920+2x-0.2x^2+0.7x^3 ?
The first derivative of 920+2x-0.2x^2+0.7x^3 is 2.1x^2-0.4x+2