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Popular >

derivative of (x-2^3+1)

Solution

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

Solution

3 x^{2} - 12 x + 12

Solution steps

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

Simplify

(x - 2)^{3} + 1 : x^{3} - 6 x^{2} + 12 x - 7

= \frac{d}{d x} (x^{3} - 6 x^{2} + 12 x - 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (12 x) - \frac{d}{d x} (7)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (12 x) = 12

\frac{d}{d x} (7) = 0

= 3 x^{2} - 12 x + 12 - 0

Simplify

= 3 x^{2} - 12 x + 12

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Frequently Asked Questions (FAQ)

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