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Popular >

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

Solution

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

Solution

4 x^{3} - 12 x^{2} + 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

\frac{d}{d x} (3) = 0

= 4 x^{3} - 12 x^{2} + 6 x - 0

Simplify

= 4 x^{3} - 12 x^{2} + 6 x

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Frequently Asked Questions (FAQ)

What is the derivative of x^4-4x^3+3x^2-3 ?
The derivative of x^4-4x^3+3x^2-3 is 4x^3-12x^2+6x
What is the first derivative of x^4-4x^3+3x^2-3 ?
The first derivative of x^4-4x^3+3x^2-3 is 4x^3-12x^2+6x