What is the derivative of 7x^2-5x+9 ?

The derivative of 7x^2-5x+9 is 14x-5

What is the first derivative of 7x^2-5x+9 ?

The first derivative of 7x^2-5x+9 is 14x-5

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\frac{d}{d x} (7 x^{2} - 5 x + 9)

14 x - 5

Solution steps

\frac{d}{d x} (7 x^{2} - 5 x + 9)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{2}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (9)

\frac{d}{d x} (7 x^{2}) = 14 x

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

\frac{d}{d x} (9) = 0

= 14 x - 5 + 0

Simplify

= 14 x - 5

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What is the derivative of 7x^2-5x+9 ?
The derivative of 7x^2-5x+9 is 14x-5
What is the first derivative of 7x^2-5x+9 ?
The first derivative of 7x^2-5x+9 is 14x-5