What is implicit (dy)/(dx),y=13^x ?

The answer to implicit (dy)/(dx),y=13^x is (dy)/(dx)=13^xln(13)

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implicit (dy)/(dx),y=13^x

implicit derivative

\frac{d y}{d x}, y = 1 3^{x}

\frac{d y}{d x} = 1 3^{x} ln (13)

Solution steps

y = 1 3^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 1 3^{x} ln (13)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 1 3^{x} ln (13)

\frac{d y}{d x} = 1 3^{x} ln (13)

\frac{d}{d x} (- \frac{2}{e ^{x}})

\frac{d}{d x} (\frac{cos ( x )}{e ^{x}})

\frac{d}{d x} (x^{4} - 2 x^{2} + 1)

x \to \infty lim (x^{- 3})

x \to π + lim (\frac{x}{sin ( x )})

What is implicit (dy)/(dx),y=13^x ?
The answer to implicit (dy)/(dx),y=13^x is (dy)/(dx)=13^xln(13)