What is (\partial)/(\partial x)((1+x)/(1+y)) ?

The answer to (\partial)/(\partial x)((1+x)/(1+y)) is 1/(1+y)

Popular >

(\partial)/(\partial x)((1+x)/(1+y))

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

\frac{1}{1 + y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (x) = 1

= \frac{1}{1 + y} (0 + 1)

Simplify

= \frac{1}{1 + y}

\int 12 - x^{2} d x

7 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0

x^{2} \frac{d y}{d x} = \frac{4 x ^{2} - x - 2}{( x + 1 ) ( y + 1 )}

\int \frac{x}{( x - 1 )} d x

\frac{d}{d x} (\frac{1}{( ln ( x ) ) ^{2}})

What is (\partial)/(\partial x)((1+x)/(1+y)) ?
The answer to (\partial)/(\partial x)((1+x)/(1+y)) is 1/(1+y)