What is the derivative of f(x)=(4x-5)/(sqrt(x)) ?

The derivative of f(x)=(4x-5)/(sqrt(x)) is (4x+5)/(2xsqrt(x))

What is the first derivative of f(x)=(4x-5)/(sqrt(x)) ?

The first derivative of f(x)=(4x-5)/(sqrt(x)) is (4x+5)/(2xsqrt(x))

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derivative of

f (x) = \frac{4 x - 5}{x}

\frac{4 x + 5}{2 x x}

Solution steps

\frac{d}{d x} (\frac{4 x - 5}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 4 x - 5 ) x - \frac{d}{d x} ( x ) ( 4 x - 5 )}{( x ) ^{2}}

\frac{d}{d x} (4 x - 5) = 4

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

= \frac{4 x - \frac{1}{2 x} ( 4 x - 5 )}{( x ) ^{2}}

Simplify

\frac{4 x - \frac{1}{2 x} ( 4 x - 5 )}{( x ) ^{2}} : \frac{4 x + 5}{2 x x}

= \frac{4 x + 5}{2 x x}

x^{2} + 10 x + 25, - 2 x - 2, - 5, - 1

\int (4 x + 8) sin (x^{2} + 4 x - 2) d x

y = ln (x + x^{2} - 3)

\frac{d y}{d x} + 5 y - 20 = 0

n = 1 \sum \infty 7

What is the derivative of f(x)=(4x-5)/(sqrt(x)) ?
The derivative of f(x)=(4x-5)/(sqrt(x)) is (4x+5)/(2xsqrt(x))
What is the first derivative of f(x)=(4x-5)/(sqrt(x)) ?
The first derivative of f(x)=(4x-5)/(sqrt(x)) is (4x+5)/(2xsqrt(x))