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Popular >

derivative of x^3+12x^2+54x+14

Solution

derivative of

x^{3} + 12 x^{2} + 54 x + 14

Solution

3 x^{2} + 24 x + 54

Solution steps

\frac{d}{d x} (x^{3} + 12 x^{2} + 54 x + 14)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (12 x^{2}) + \frac{d}{d x} (54 x) + \frac{d}{d x} (14)

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

\frac{d}{d x} (12 x^{2}) = 24 x

\frac{d}{d x} (54 x) = 54

\frac{d}{d x} (14) = 0

= 3 x^{2} + 24 x + 54 + 0

Simplify

= 3 x^{2} + 24 x + 54

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Frequently Asked Questions (FAQ)

What is the derivative of x^3+12x^2+54x+14 ?
The derivative of x^3+12x^2+54x+14 is 3x^2+24x+54
What is the first derivative of x^3+12x^2+54x+14 ?
The first derivative of x^3+12x^2+54x+14 is 3x^2+24x+54