What is derivative of y(X)=(2X+5)/(sqrt(X)) ?

The answer to derivative of y(X)=(2X+5)/(sqrt(X)) is (dy)/(dx)=(2x-5-2xysqrt(x))/(2x^2sqrt(x))

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derivative of y(X)=(2X+5)/(sqrt(X))

derivative of

y = \frac{2 x + 5}{x}

\frac{d y}{d x} = \frac{2 x - 5 - 2 x y x}{2 x ^{2} x}

Solution steps

y x = \frac{2 x + 5}{x}

Treat

y

y (x)

Differentiate both sides:

x \frac{d y}{d x} + y = \frac{2 x - 5}{2 x x}

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = \frac{2 x - 5 - 2 x y x}{2 x ^{2} x}

\frac{d y}{d x} = \frac{2 x - 5 - 2 x y x}{2 x ^{2} x}

\frac{\partial}{\partial x} (8 y x)

h \to 0 lim (\frac{( 2 + h ) - 2}{h})

cos (2 x + 1)

y = \frac{1 + 2 x}{3 - 4 x}

x \to 0 + lim (\frac{e ^{x}}{1 - e ^{x}})

What is derivative of y(X)=(2X+5)/(sqrt(X)) ?
The answer to derivative of y(X)=(2X+5)/(sqrt(X)) is (dy)/(dx)=(2x-5-2xysqrt(x))/(2x^2sqrt(x))