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

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

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implicit (dy)/(dx),y=e^x

implicit derivative

\frac{d y}{d x}, y = e^{x}

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

Solution steps

y = e^{x}

Treat

y

y (x)

Differentiate both sides:

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

Isolate

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

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

\frac{d y}{d t} - \frac{2 t}{1 + t ^{2}} y = 3

d er i v a t i v e tan^{2} (y)

\frac{\partial}{\partial x} (2 x^{3} + 3 y^{2} - 5 x y)

\int \frac{2 x}{( x - 1 ) ^{2}} d x

\int_{- π}^{π} sin^{101} (x) d x

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