What is implicit (dy)/(dx),y=2^x ?

The answer to implicit (dy)/(dx),y=2^x is (dy)/(dx)=2^xln(2)

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implicit (dy)/(dx),y=2^x

implicit derivative

\frac{d y}{d x}, y = 2^{x}

\frac{d y}{d x} = 2^{x} ln (2)

Solution steps

y = 2^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 2^{x} ln (2)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 2^{x} ln (2)

\frac{d y}{d x} = 2^{x} ln (2)

x \to 0 lim (\frac{2 x}{3 x})

\int_{0}^{1} 5^{x} d x

sin (6 x)

y = \frac{1}{( t ^{4} + 1 ) ^{3}}

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

What is implicit (dy)/(dx),y=2^x ?
The answer to implicit (dy)/(dx),y=2^x is (dy)/(dx)=2^xln(2)