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Popular >

derivative of x^3-17x^2+63x+6

Solution

derivative of

x^{3} - 17 x^{2} + 63 x + 6

Solution

3 x^{2} - 34 x + 63

Solution steps

\frac{d}{d x} (x^{3} - 17 x^{2} + 63 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (17 x^{2}) + \frac{d}{d x} (63 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (17 x^{2}) = 34 x

\frac{d}{d x} (63 x) = 63

\frac{d}{d x} (6) = 0

= 3 x^{2} - 34 x + 63 + 0

Simplify

= 3 x^{2} - 34 x + 63

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Frequently Asked Questions (FAQ)

What is the derivative of x^3-17x^2+63x+6 ?
The derivative of x^3-17x^2+63x+6 is 3x^2-34x+63
What is the first derivative of x^3-17x^2+63x+6 ?
The first derivative of x^3-17x^2+63x+6 is 3x^2-34x+63