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Popular >

derivative of f(x)=2-2/3 x

Solution

derivative of

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

Solution

- \frac{2}{3}

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - \frac{2}{3}

Simplify

= - \frac{2}{3}

Popular Examples

derivative of ln(ln(sec(2x)))

\frac{d}{d x} (ln (ln (sec (2 x))))

derivative of y=3x+4/x derivative of

y = 3 x + \frac{4}{x}

(du+2dv)/(u+2v)=0

\frac{d u + 2 d v}{u + 2 v} = 0

limit as x approaches 2 of 3x^2-2x+1

x \to 2 lim (3 x^{2} - 2 x + 1)

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f (x) = \frac{7 x ^{2} + 7 x + 7}{x}

Frequently Asked Questions (FAQ)

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