What is the derivative of f(x)= 2/3 x-6 ?

The derivative of f(x)= 2/3 x-6 is 2/3

What is the first derivative of f(x)= 2/3 x-6 ?

The first derivative of f(x)= 2/3 x-6 is 2/3

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derivative of

f (x) = \frac{2}{3} x - 6

\frac{2}{3}

Solution steps

\frac{d}{d x} (\frac{2}{3} x - 6)

Simplify

\frac{2}{3} x - 6 : \frac{2 x}{3} - 6

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (6) = 0

= \frac{2}{3} - 0

Simplify

= \frac{2}{3}

\int \frac{6}{x ^{2} x ^{2} + 36} d x

\int_{1}^{8} 3 x^{2} + \frac{1}{12 x ^{2}} d x

\int \frac{x ^{2}}{( x - 1 ) ^{4}} d x

\frac{x ^{3} - 4}{x ^{2} + 2}

f (t) = \frac{1}{t}

What is the derivative of f(x)= 2/3 x-6 ?
The derivative of f(x)= 2/3 x-6 is 2/3
What is the first derivative of f(x)= 2/3 x-6 ?
The first derivative of f(x)= 2/3 x-6 is 2/3