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Popular >

derivative of 14x^3+7x^2+11x-29

Solution

derivative of

14 x^{3} + 7 x^{2} + 11 x - 29

Solution

42 x^{2} + 14 x + 11

Solution steps

\frac{d}{d x} (14 x^{3} + 7 x^{2} + 11 x - 29)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (14 x^{3}) + \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (11 x) - \frac{d}{d x} (29)

\frac{d}{d x} (14 x^{3}) = 42 x^{2}

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (11 x) = 11

\frac{d}{d x} (29) = 0

= 42 x^{2} + 14 x + 11 - 0

Simplify

= 42 x^{2} + 14 x + 11

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Frequently Asked Questions (FAQ)

What is the derivative of 14x^3+7x^2+11x-29 ?
The derivative of 14x^3+7x^2+11x-29 is 42x^2+14x+11
What is the first derivative of 14x^3+7x^2+11x-29 ?
The first derivative of 14x^3+7x^2+11x-29 is 42x^2+14x+11