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Popular >

d/(dy)(y/x)

Solution

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

Solution

\frac{1}{x}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{d y}{d y} = 1

= \frac{1}{x} \cdot 1

Simplify

= \frac{1}{x}

Popular Examples

derivative of (2x^7+5x^3-1/4)

\frac{d}{d x} (\frac{2 x ^{7} + 5 x ^{3} - 1}{4})

integral from 0 to pi of (1+sin(x))

\int_{0}^{π} (1 + sin (x)) d x

2y^{'''}+3y^{''}-23y^'-12y=0

2 y^{^{'''}} + 3 y^{^{''}} - 23 y^{^{'}} - 12 y = 0

integral of xsin(10x)

\int x sin (10 x) d x

integral of 0.4t

\int 0.4 t d t

Frequently Asked Questions (FAQ)

What is the d/(dy)(y/x) ?
The d/(dy)(y/x) is 1/x
What is the first d/(dy)(y/x) ?
The first d/(dy)(y/x) is 1/x