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Popular >

derivative of f(x)=3x^2+2ax+b

Solution

derivative of

f (x) = 3 x^{2} + 2 a x + b

Solution

6 x + 2 a

Solution steps

\frac{d}{d x} (3 x^{2} + 2 a x + b)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (2 a x) + \frac{d b}{d x}

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

\frac{d}{d x} (2 a x) = 2 a

\frac{d b}{d x} = 0

= 6 x + 2 a + 0

Simplify

= 6 x + 2 a

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x \to 3 lim (\frac{3 - x}{∣ x - 3 ∣})

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3x^2+2ax+b ?
The derivative of f(x)=3x^2+2ax+b is 6x+2a
What is the first derivative of f(x)=3x^2+2ax+b ?
The first derivative of f(x)=3x^2+2ax+b is 6x+2a