What is the derivative of 3x^2+(10x/3-2) ?

The derivative of 3x^2+(10x/3-2) is 6x+10/3

What is the first derivative of 3x^2+(10x/3-2) ?

The first derivative of 3x^2+(10x/3-2) is 6x+10/3

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\frac{d}{d x} (3 x^{2} + \frac{10 x}{3} - 2)

6 x + \frac{10}{3}

Solution steps

\frac{d}{d x} (3 x^{2} + \frac{10 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{10 x}{3}) - \frac{d}{d x} (2)

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

\frac{d}{d x} (\frac{10 x}{3}) = \frac{10}{3}

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

= 6 x + \frac{10}{3} - 0

Simplify

= 6 x + \frac{10}{3}

(- 5.5) (0.1)

\int \frac{1}{( t - 1 ) ^{2}} d t

\frac{d}{d x} (\frac{x - 7}{x + 7})

\frac{d}{d x} (\frac{x}{4 + x})

\frac{d}{d x} (tan (π x))

What is the derivative of 3x^2+(10x/3-2) ?
The derivative of 3x^2+(10x/3-2) is 6x+10/3
What is the first derivative of 3x^2+(10x/3-2) ?
The first derivative of 3x^2+(10x/3-2) is 6x+10/3