What is the derivative of y=3x^2+17x+10 ?

The derivative of y=3x^2+17x+10 is 6x+17

What is the first derivative of y=3x^2+17x+10 ?

The first derivative of y=3x^2+17x+10 is 6x+17

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derivative of

y = 3 x^{2} + 17 x + 10

6 x + 17

Solution steps

\frac{d}{d x} (3 x^{2} + 17 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (17 x) + \frac{d}{d x} (10)

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

\frac{d}{d x} (17 x) = 17

\frac{d}{d x} (10) = 0

= 6 x + 17 + 0

Simplify

= 6 x + 17

What is the derivative of y=3x^2+17x+10 ?
The derivative of y=3x^2+17x+10 is 6x+17
What is the first derivative of y=3x^2+17x+10 ?
The first derivative of y=3x^2+17x+10 is 6x+17