What is implicit (dy)/(dx),y=5^x ?

The answer to implicit (dy)/(dx),y=5^x is (dy)/(dx)=5^xln(5)

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implicit (dy)/(dx),y=5^x

implicit derivative

\frac{d y}{d x}, y = 5^{x}

\frac{d y}{d x} = 5^{x} ln (5)

Solution steps

y = 5^{x}

Treat

y

y (x)

Differentiate both sides:

\frac{d y}{d x} = 5^{x} ln (5)

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = 5^{x} ln (5)

\frac{d y}{d x} = 5^{x} ln (5)

\frac{d}{d x} (16 x^{2} + 9)

\int_{- 1}^{1} 1.5 x^{3} d x

f (x) = (x^{2} - 5 x + 2) (x - \frac{2}{x})

\int_{0}^{0.6} 3000 x d x

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

What is implicit (dy)/(dx),y=5^x ?
The answer to implicit (dy)/(dx),y=5^x is (dy)/(dx)=5^xln(5)