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Popular >

derivative of 3x^2+(16x/3-2)

Solution

\frac{d}{d x} (3 x^{2} + \frac{16 x}{3} - 2)

Solution

6 x + \frac{16}{3}

Solution steps

\frac{d}{d x} (3 x^{2} + \frac{16 x}{3} - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (\frac{16 x}{3}) - \frac{d}{d x} (2)

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

\frac{d}{d x} (\frac{16 x}{3}) = \frac{16}{3}

\frac{d}{d x} (2) = 0

= 6 x + \frac{16}{3} - 0

Simplify

= 6 x + \frac{16}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 3x^2+(16x/3-2) ?
The derivative of 3x^2+(16x/3-2) is 6x+16/3
What is the first derivative of 3x^2+(16x/3-2) ?
The first derivative of 3x^2+(16x/3-2) is 6x+16/3