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Popular >

derivative of f(x)=4-|x-2/3 |

Solution

derivative of

f (x) = 4 - x - \frac{2}{3}

Solution

- \frac{3 x - 2}{∣ 3 x - 2 ∣}

Solution steps

\frac{d}{d x} (4 - x - \frac{2}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (x - \frac{2}{3})

\frac{d}{d x} (4) = 0

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

= 0 - \frac{3 x - 2}{∣ 3 x - 2 ∣}

Simplify

= - \frac{3 x - 2}{∣ 3 x - 2 ∣}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4-|x-2/3 | ?
The derivative of f(x)=4-|x-2/3 | is -(3x-2)/(|3x-2|)
What is the first derivative of f(x)=4-|x-2/3 | ?
The first derivative of f(x)=4-|x-2/3 | is -(3x-2)/(|3x-2|)