What is implicit (dy)/(dx), y/x =0 ?

The answer to implicit (dy)/(dx), y/x =0 is (dy)/(dx)= y/x

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implicit (dy)/(dx), y/x =0

implicit derivative

\frac{d y}{d x}, \frac{y}{x} = 0

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

Solution steps

\frac{y}{x} = 0

Treat

y

y (x)

Differentiate both sides:

\frac{x \frac{d y}{d x} - y}{x ^{2}} = 0

Isolate

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

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

x \to 0 lim (ln (x) sin (x))

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

\int_{0}^{0.6} 500 x d x

d er i v a t i v e (8 x^{3} - 5 x + 2)^{π}

t an g e n t y = \frac{1 + x}{1 + e ^{x}}, (0, \frac{1}{2})

What is implicit (dy)/(dx), y/x =0 ?
The answer to implicit (dy)/(dx), y/x =0 is (dy)/(dx)= y/x