What is the derivative of 5x^2+7x-6 ?

The derivative of 5x^2+7x-6 is 10x+7

What is the first derivative of 5x^2+7x-6 ?

The first derivative of 5x^2+7x-6 is 10x+7

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\frac{d}{d x} (5 x^{2} + 7 x - 6)

10 x + 7

Solution steps

\frac{d}{d x} (5 x^{2} + 7 x - 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (7 x) - \frac{d}{d x} (6)

\frac{d}{d x} (5 x^{2}) = 10 x

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

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

= 10 x + 7 - 0

Simplify

= 10 x + 7

What is the derivative of 5x^2+7x-6 ?
The derivative of 5x^2+7x-6 is 10x+7
What is the first derivative of 5x^2+7x-6 ?
The first derivative of 5x^2+7x-6 is 10x+7