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Popular >

derivative of (a+3x^2+(b-2)x+c)

Solution

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

Solution

2 x (a + 3) + b - 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} ((b - 2) x) = b - 2

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

= 2 x (a + 3) + b - 2 + 0

Simplify

= 2 x (a + 3) + b - 2

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (a+3*x^2+(b-2)*x+c) ?
The derivative of (a+3*x^2+(b-2)*x+c) is 2x(a+3)+b-2
What is the first derivative of (a+3*x^2+(b-2)*x+c) ?
The first derivative of (a+3*x^2+(b-2)*x+c) is 2x(a+3)+b-2