What is the derivative of 3x^2-7x+10 ?

The derivative of 3x^2-7x+10 is 6x-7

What is the first derivative of 3x^2-7x+10 ?

The first derivative of 3x^2-7x+10 is 6x-7

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\frac{d}{d x} (3 x^{2} - 7 x + 10)

6 x - 7

Solution steps

\frac{d}{d x} (3 x^{2} - 7 x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (7 x) + \frac{d}{d x} (10)

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

\frac{d}{d x} (7 x) = 7

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

= 6 x - 7 + 0

Simplify

= 6 x - 7

What is the derivative of 3x^2-7x+10 ?
The derivative of 3x^2-7x+10 is 6x-7
What is the first derivative of 3x^2-7x+10 ?
The first derivative of 3x^2-7x+10 is 6x-7