What is the derivative of (1+x/(1+y)) ?

The derivative of (1+x/(1+y)) is (1+y-\frac{dy)/(dx)(1+x)}{(1+y)^2}

What is the first derivative of (1+x/(1+y)) ?

The first derivative of (1+x/(1+y)) is (1+y-\frac{dy)/(dx)(1+x)}{(1+y)^2}

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\frac{d}{d x} (\frac{1 + x}{1 + y})

\frac{1 + y - \frac{d y}{d x} ( 1 + x )}{( 1 + y ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1 + x}{1 + y})

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

y = 49 - x^{2}, (- 7, 0)

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

\int ln (2 - x) d x

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

What is the derivative of (1+x/(1+y)) ?
The derivative of (1+x/(1+y)) is (1+y-\frac{dy)/(dx)(1+x)}{(1+y)^2}
What is the first derivative of (1+x/(1+y)) ?
The first derivative of (1+x/(1+y)) is (1+y-\frac{dy)/(dx)(1+x)}{(1+y)^2}