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Popular >

derivative of f(x)=4x^3-11x^2-14x+19

Solution

derivative of

f (x) = 4 x^{3} - 11 x^{2} - 14 x + 19

Solution

12 x^{2} - 22 x - 14

Solution steps

\frac{d}{d x} (4 x^{3} - 11 x^{2} - 14 x + 19)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (11 x^{2}) - \frac{d}{d x} (14 x) + \frac{d}{d x} (19)

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

\frac{d}{d x} (11 x^{2}) = 22 x

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

\frac{d}{d x} (19) = 0

= 12 x^{2} - 22 x - 14 + 0

Simplify

= 12 x^{2} - 22 x - 14

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4x^3-11x^2-14x+19 ?
The derivative of f(x)=4x^3-11x^2-14x+19 is 12x^2-22x-14
What is the first derivative of f(x)=4x^3-11x^2-14x+19 ?
The first derivative of f(x)=4x^3-11x^2-14x+19 is 12x^2-22x-14