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

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

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

implicit derivative

\frac{d y}{d x}, ln (y) = x

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

Solution steps

ln (y) = x

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

\int \frac{y}{1} d y

x^{(\frac{1}{3})}

\int \frac{1}{1 - v ^{2}} d v

\frac{d}{d t} (1 - ∣ t ∣)

\int - sin (x) - e^{- x} + 3 x^{2} d x

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