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Popular >

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

Solution

derivative of

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

Solution

6 x^{2} - 6 x + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

= 6 x^{2} - 6 x + 1 - 0

Simplify

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

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Frequently Asked Questions (FAQ)

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