What is the derivative of 2x^3-11.7x^2+17.7x-5 ?

The derivative of 2x^3-11.7x^2+17.7x-5 is 6x^2-23.4x+17.7

What is the first derivative of 2x^3-11.7x^2+17.7x-5 ?

The first derivative of 2x^3-11.7x^2+17.7x-5 is 6x^2-23.4x+17.7

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\frac{d}{d x} (2 x^{3} - 11.7 x^{2} + 17.7 x - 5)

6 x^{2} - 23.4 x + 17.7

Solution steps

\frac{d}{d x} (2 x^{3} - 11.7 x^{2} + 17.7 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (11.7 x^{2}) + \frac{d}{d x} (17.7 x) - \frac{d}{d x} (5)

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (11.7 x^{2}) = 23.4 x

\frac{d}{d x} (17.7 x) = 17.7

\frac{d}{d x} (5) = 0

= 6 x^{2} - 23.4 x + 17.7 - 0

Simplify

= 6 x^{2} - 23.4 x + 17.7

What is the derivative of 2x^3-11.7x^2+17.7x-5 ?
The derivative of 2x^3-11.7x^2+17.7x-5 is 6x^2-23.4x+17.7
What is the first derivative of 2x^3-11.7x^2+17.7x-5 ?
The first derivative of 2x^3-11.7x^2+17.7x-5 is 6x^2-23.4x+17.7