What is the d/(d{x)}(({x})/({y)}+({y})/({z)}) ?

The d/(d{x)}(({x})/({y)}+({y})/({z)}) is 1/({y)}

What is the first d/(d{x)}(({x})/({y)}+({y})/({z)}) ?

The first d/(d{x)}(({x})/({y)}+({y})/({z)}) is 1/({y)}

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Popular >

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

\frac{1}{y}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{y}{z}) = 0

= \frac{1}{y} + 0

Simplify

= \frac{1}{y}

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

\int_{1}^{4} - 1 t ln (t) d t

\int 8 e^{- 8 x} sin (8 x) d x

\frac{d y}{d x} + \frac{3}{x} y = x^{5}

y = \frac{1}{5 + 3 x}, (- 1, \frac{1}{2})

What is the d/(d{x)}(({x})/({y)}+({y})/({z)}) ?
The d/(d{x)}(({x})/({y)}+({y})/({z)}) is 1/({y)}
What is the first d/(d{x)}(({x})/({y)}+({y})/({z)}) ?
The first d/(d{x)}(({x})/({y)}+({y})/({z)}) is 1/({y)}