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Popular >

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

Solution

derivative of

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}

Popular Examples

derivative of f(x)= x/(x^2+3)derivative of

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

maclaurin ((z-2))/(z-1)maclaurin

\frac{( z - 2 )}{z - 1}

derivative of y=sqrt(5-2t)derivative of

y = 5 - 2 t

integral from 0 to 1 of (x-1)^3-(x-1)

\int_{0}^{1} (x - 1)^{3} - (x - 1) d x

inverse oflaplace 1/(s*(s^2+9/2 s+15))inverse laplace

\frac{1}{s \cdot ( s ^{2} + \frac{9}{2} s + 15 )}

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