What is the derivative of $5^x$ ?

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Answer 1 · 2015-06-12T03:08:44

The derivative is $dy/dx=5^xln(5)$

Let $y=5^x$

Take natural log of each side

$lny=ln5^x=xln5$

Take the derivative of each side with respect to $x$

$1/y dy/dx=ln(5)$

$dy/dx=yln(5)$

Substitute $y$

$dy/dx=5^xln(5)$

What is the derivative of 5^x 5^x?