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Popular >

derivative of-1+5.5x-4x^2+0.5x^3

Solution

\frac{d}{d x} (- 1 + 5.5 x - 4 x^{2} + 0.5 x^{3})

Solution

1.5 x^{2} - 8 x + 5.5

Solution steps

\frac{d}{d x} (- 1 + 5.5 x - 4 x^{2} + 0.5 x^{3})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (1) + \frac{d}{d x} (5.5 x) - \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (0.5 x^{3})

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

\frac{d}{d x} (5.5 x) = 5.5

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

\frac{d}{d x} (0.5 x^{3}) = 1.5 x^{2}

= - 0 + 5.5 - 8 x + 1.5 x^{2}

Simplify

= 1.5 x^{2} - 8 x + 5.5

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-1+5.5x-4x^2+0.5x^3 ?
The derivative of-1+5.5x-4x^2+0.5x^3 is 1.5x^2-8x+5.5
What is the first derivative of-1+5.5x-4x^2+0.5x^3 ?
The first derivative of-1+5.5x-4x^2+0.5x^3 is 1.5x^2-8x+5.5