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Popular >

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

Solution

derivative of

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

Solution

- 8 x^{3} + 6 x^{2} - 2 x + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d x}{d x} = 1

= - 8 x^{3} + 6 x^{2} - 2 x + 1

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Frequently Asked Questions (FAQ)

What is the derivative of-2x^4+2x^3-x^2+x ?
The derivative of-2x^4+2x^3-x^2+x is -8x^3+6x^2-2x+1
What is the first derivative of-2x^4+2x^3-x^2+x ?
The first derivative of-2x^4+2x^3-x^2+x is -8x^3+6x^2-2x+1