What is implicit (dy)/(dx),y=7^x ?

The answer to implicit (dy)/(dx),y=7^x is (dy)/(dx)=7^xln(7)

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implicit (dy)/(dx),y=7^x

implicit derivative

\frac{d y}{d x}, y = 7^{x}

\frac{d y}{d x} = 7^{x} ln (7)

Solution steps

y = 7^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 7^{x} ln (7)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 7^{x} ln (7)

\frac{d y}{d x} = 7^{x} ln (7)

What is implicit (dy)/(dx),y=7^x ?
The answer to implicit (dy)/(dx),y=7^x is (dy)/(dx)=7^xln(7)