What is implicit (dy)/(dx),y=3^x ?

The answer to implicit (dy)/(dx),y=3^x is (dy)/(dx)=3^xln(3)

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implicit (dy)/(dx),y=3^x

implicit derivative

\frac{d y}{d x}, y = 3^{x}

\frac{d y}{d x} = 3^{x} ln (3)

Solution steps

y = 3^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 3^{x} ln (3)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 3^{x} ln (3)

\frac{d y}{d x} = 3^{x} ln (3)

\frac{d}{d x} (\frac{1}{x ^{\frac{3}{4}}})

x \to 3 lim (x)

\int \frac{x ^{2}}{x ^{2} - 36} d x

x \to 2 lim (3 x + h^{2} - 7)

x \to 1 lim (\frac{2 x - 3}{x + 5})

What is implicit (dy)/(dx),y=3^x ?
The answer to implicit (dy)/(dx),y=3^x is (dy)/(dx)=3^xln(3)