What is the derivative of (3/5 ^x) ?

The derivative of (3/5 ^x) is (3/5)^xln(3/5)

What is the first derivative of (3/5 ^x) ?

The first derivative of (3/5 ^x) is (3/5)^xln(3/5)

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\frac{d}{d x} ((\frac{3}{5})^{x})

(\frac{3}{5})^{x} ln (\frac{3}{5})

Solution steps

\frac{d}{d x} ((\frac{3}{5})^{x})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= (\frac{3}{5})^{x} ln (\frac{3}{5})

What is the derivative of (3/5 ^x) ?
The derivative of (3/5 ^x) is (3/5)^xln(3/5)
What is the first derivative of (3/5 ^x) ?
The first derivative of (3/5 ^x) is (3/5)^xln(3/5)