What is the derivative of x/(x+11) ?

The derivative of x/(x+11) is (11)/((x+11)^2)

What is the first derivative of x/(x+11) ?

The first derivative of x/(x+11) is (11)/((x+11)^2)

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derivative of

\frac{x}{x + 11}

\frac{11}{( x + 11 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x + 11})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( x + 11 ) - \frac{d}{d x} ( x + 11 ) x}{( x + 11 ) ^{2}}

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

\frac{d}{d x} (x + 11) = 1

= \frac{1 \cdot ( x + 11 ) - 1 \cdot x}{( x + 11 ) ^{2}}

1 \cdot (x + 11) - 1 \cdot x = 11

= \frac{11}{( x + 11 ) ^{2}}

y^{^{''}} + y = (sin (x))^{2}

\int \frac{cos ( \frac{1}{x} )}{x ^{3}} d x

y^{^{'}} = 3 x - y

y^{^{'}} = \frac{x ^{2} y ^{4} - x ^{2}}{y ^{3}}

x \to 0 lim (\frac{x - 1}{x ^{2} - x})

What is the derivative of x/(x+11) ?
The derivative of x/(x+11) is (11)/((x+11)^2)
What is the first derivative of x/(x+11) ?
The first derivative of x/(x+11) is (11)/((x+11)^2)