What is the derivative of f(x)=4x^3-14x^2+49x+6 ?

The derivative of f(x)=4x^3-14x^2+49x+6 is 12x^2-28x+49

What is the first derivative of f(x)=4x^3-14x^2+49x+6 ?

The first derivative of f(x)=4x^3-14x^2+49x+6 is 12x^2-28x+49

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derivative of

f (x) = 4 x^{3} - 14 x^{2} + 49 x + 6

12 x^{2} - 28 x + 49

Solution steps

\frac{d}{d x} (4 x^{3} - 14 x^{2} + 49 x + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (14 x^{2}) + \frac{d}{d x} (49 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (14 x^{2}) = 28 x

\frac{d}{d x} (49 x) = 49

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

= 12 x^{2} - 28 x + 49 + 0

Simplify

= 12 x^{2} - 28 x + 49

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What is the derivative of f(x)=4x^3-14x^2+49x+6 ?
The derivative of f(x)=4x^3-14x^2+49x+6 is 12x^2-28x+49
What is the first derivative of f(x)=4x^3-14x^2+49x+6 ?
The first derivative of f(x)=4x^3-14x^2+49x+6 is 12x^2-28x+49