What is the derivative of ((2x+7))/(sqrt(x)) ?

The derivative of ((2x+7))/(sqrt(x)) is (2x-7)/(2xsqrt(x))

What is the first derivative of ((2x+7))/(sqrt(x)) ?

The first derivative of ((2x+7))/(sqrt(x)) is (2x-7)/(2xsqrt(x))

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derivative of

\frac{( 2 x + 7 )}{x}

\frac{2 x - 7}{2 x x}

Solution steps

\frac{d}{d x} (\frac{2 x + 7}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 2 x + 7 ) x - \frac{d}{d x} ( x ) ( 2 x + 7 )}{( x ) ^{2}}

\frac{d}{d x} (2 x + 7) = 2

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

= \frac{2 x - \frac{1}{2 x} ( 2 x + 7 )}{( x ) ^{2}}

Simplify

\frac{2 x - \frac{1}{2 x} ( 2 x + 7 )}{( x ) ^{2}} : \frac{2 x - 7}{2 x x}

= \frac{2 x - 7}{2 x x}

3 y^{^{''}} + 3 y^{^{'}} - y = 0

x^{3} y^{2} = x y^{3} + 6, (2, 1)

y = 5 x + ln (3 x)

f^{^{'}} (x) = 4 x + 2

\int x^{2} x^{2} + 3 d x

What is the derivative of ((2x+7))/(sqrt(x)) ?
The derivative of ((2x+7))/(sqrt(x)) is (2x-7)/(2xsqrt(x))
What is the first derivative of ((2x+7))/(sqrt(x)) ?
The first derivative of ((2x+7))/(sqrt(x)) is (2x-7)/(2xsqrt(x))