What is the derivative of 4x^2+5x+3 ?

The derivative of 4x^2+5x+3 is 8x+5

What is the first derivative of 4x^2+5x+3 ?

The first derivative of 4x^2+5x+3 is 8x+5

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\frac{d}{d x} (4 x^{2} + 5 x + 3)

8 x + 5

Solution steps

\frac{d}{d x} (4 x^{2} + 5 x + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (5 x) + \frac{d}{d x} (3)

\frac{d}{d x} (4 x^{2}) = 8 x

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

\frac{d}{d x} (3) = 0

= 8 x + 5 + 0

Simplify

= 8 x + 5

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What is the derivative of 4x^2+5x+3 ?
The derivative of 4x^2+5x+3 is 8x+5
What is the first derivative of 4x^2+5x+3 ?
The first derivative of 4x^2+5x+3 is 8x+5