What is the solution for -derivative of y= 5/x ?

The solution for -derivative of y= 5/x is y=-5ln(x)+c_{1}

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Find the Derivative - d/dx y=5/x

- \frac{d}{d x} y = \frac{5}{x}

y = - 5 ln (x) + c_{1}

Solution steps

- \frac{d y}{d x} = \frac{5}{x}

Isolate

y^{'} (x) : y^{'} (x) = - \frac{5}{x}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - \frac{5}{x} d x

\int - \frac{5}{x} d x = - 5 ln (x) + c_{1}

y = - 5 ln (x) + c_{1}

- \frac{d}{d x} y = \frac{( sec ( x ) )}{x}

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

- \frac{d}{d x} (1) - sin (x)

f (x) = cos (2 x)

\frac{- d}{d θ sin ( θ ) cos ( θ )}

What is the solution for -derivative of y= 5/x ?
The solution for -derivative of y= 5/x is y=-5ln(x)+c_{1}