What is the derivative of (3x-7)/(sqrt(x)) ?

The derivative of (3x-7)/(sqrt(x)) is (3x+7)/(2xsqrt(x))

What is the first derivative of (3x-7)/(sqrt(x)) ?

The first derivative of (3x-7)/(sqrt(x)) is (3x+7)/(2xsqrt(x))

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derivative of

\frac{3 x - 7}{x}

\frac{3 x + 7}{2 x x}

Solution steps

\frac{d}{d x} (\frac{3 x - 7}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 3 x - 7 ) x - \frac{d}{d x} ( x ) ( 3 x - 7 )}{( x ) ^{2}}

\frac{d}{d x} (3 x - 7) = 3

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

= \frac{3 x - \frac{1}{2 x} ( 3 x - 7 )}{( x ) ^{2}}

Simplify

\frac{3 x - \frac{1}{2 x} ( 3 x - 7 )}{( x ) ^{2}} : \frac{3 x + 7}{2 x x}

= \frac{3 x + 7}{2 x x}

\frac{d y}{d x} = - 6 y x

x \to 7 lim (\frac{x}{x ^{2} - 49})

sin^{2} (9)

s^{- 2}

What is the derivative of (3x-7)/(sqrt(x)) ?
The derivative of (3x-7)/(sqrt(x)) is (3x+7)/(2xsqrt(x))
What is the first derivative of (3x-7)/(sqrt(x)) ?
The first derivative of (3x-7)/(sqrt(x)) is (3x+7)/(2xsqrt(x))