What is the derivative of (sqrt(s)-7)/(sqrt(s)+5) ?

The derivative of (sqrt(s)-7)/(sqrt(s)+5) is 6/(sqrt(s)(\sqrt{s)+5)^2}

What is the first derivative of (sqrt(s)-7)/(sqrt(s)+5) ?

The first derivative of (sqrt(s)-7)/(sqrt(s)+5) is 6/(sqrt(s)(\sqrt{s)+5)^2}

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derivative of

\frac{s - 7}{s + 5}

\frac{6}{s ( s + 5 ) ^{2}}

Solution steps

\frac{d}{d s} (\frac{s - 7}{s + 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d s} ( s - 7 ) ( s + 5 ) - \frac{d}{d s} ( s + 5 ) ( s - 7 )}{( s + 5 ) ^{2}}

\frac{d}{d s} (s - 7) = \frac{1}{2 s}

\frac{d}{d s} (s + 5) = \frac{1}{2 s}

= \frac{\frac{1}{2 s} ( s + 5 ) - \frac{1}{2 s} ( s - 7 )}{( s + 5 ) ^{2}}

Simplify

\frac{\frac{1}{2 s} ( s + 5 ) - \frac{1}{2 s} ( s - 7 )}{( s + 5 ) ^{2}} : \frac{6}{s ( s + 5 ) ^{2}}

= \frac{6}{s ( s + 5 ) ^{2}}

\int tan (7 x se) c^{2} 7 x d x

\int e^{- 2 x} cos (3 x) d x

x \to 3 lim (x^{2} + 16)

\frac{\partial}{\partial x} (25 - 5 x^{2} - y^{2})

x \to \infty lim (2 x + 5)

What is the derivative of (sqrt(s)-7)/(sqrt(s)+5) ?
The derivative of (sqrt(s)-7)/(sqrt(s)+5) is 6/(sqrt(s)(\sqrt{s)+5)^2}
What is the first derivative of (sqrt(s)-7)/(sqrt(s)+5) ?
The first derivative of (sqrt(s)-7)/(sqrt(s)+5) is 6/(sqrt(s)(\sqrt{s)+5)^2}