What is the derivative of x/(x+25) ?

The derivative of x/(x+25) is (25)/((x+25)^2)

What is the first derivative of x/(x+25) ?

The first derivative of x/(x+25) is (25)/((x+25)^2)

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derivative of

\frac{x}{x + 25}

\frac{25}{( x + 25 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x + 25})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( x + 25 ) - \frac{d}{d x} ( x + 25 ) x}{( x + 25 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (x + 25) = 1

= \frac{1 \cdot ( x + 25 ) - 1 \cdot x}{( x + 25 ) ^{2}}

1 \cdot (x + 25) - 1 \cdot x = 25

= \frac{25}{( x + 25 ) ^{2}}

y^{^{''}} + 2 y^{^{'}} + 5 y = x

\int \frac{5}{( x ^{2} - 1 ) ^{2}} d x

\frac{6}{x ^{4}}

\int 2 t^{3} - 6 t + 7 d t

\frac{d}{d x} (\frac{14 x + 6 x ^{2}}{( 7 + 6 x ) ^{2}})

What is the derivative of x/(x+25) ?
The derivative of x/(x+25) is (25)/((x+25)^2)
What is the first derivative of x/(x+25) ?
The first derivative of x/(x+25) is (25)/((x+25)^2)