What is the derivative of f(x)=(5x-2)/(5x) ?

The derivative of f(x)=(5x-2)/(5x) is 2/(5x^2)

What is the first derivative of f(x)=(5x-2)/(5x) ?

The first derivative of f(x)=(5x-2)/(5x) is 2/(5x^2)

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derivative of

f (x) = \frac{5 x - 2}{5 x}

\frac{2}{5 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{5 x - 2}{5 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{5} \frac{d}{d x} (\frac{5 x - 2}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{1}{5} \cdot \frac{\frac{d}{d x} ( 5 x - 2 ) x - \frac{d x}{d x} ( 5 x - 2 )}{x ^{2}}

\frac{d}{d x} (5 x - 2) = 5

\frac{d x}{d x} = 1

= \frac{1}{5} \cdot \frac{5 x - 1 \cdot ( 5 x - 2 )}{x ^{2}}

Simplify

\frac{1}{5} \cdot \frac{5 x - 1 \cdot ( 5 x - 2 )}{x ^{2}} : \frac{2}{5 x ^{2}}

= \frac{2}{5 x ^{2}}

\int (- x) d x

x \to 4 + lim (\frac{- 2}{x ^{2} - 16})

y = arcsin (2 \cdot t)

\frac{d}{d x} ((a x^{2} + b x + c) \cdot e^{- \frac{x}{6}})

\int x cos (182 x) d x

What is the derivative of f(x)=(5x-2)/(5x) ?
The derivative of f(x)=(5x-2)/(5x) is 2/(5x^2)
What is the first derivative of f(x)=(5x-2)/(5x) ?
The first derivative of f(x)=(5x-2)/(5x) is 2/(5x^2)