What is the derivative of (3/2)^x ?

The derivative of (3/2)^x is (3/2)^xln(3/2)

What is the first derivative of (3/2)^x ?

The first derivative of (3/2)^x is (3/2)^xln(3/2)

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derivative of

(\frac{3}{2})^{x}

(\frac{3}{2})^{x} ln (\frac{3}{2})

Solution steps

\frac{d}{d x} ((\frac{3}{2})^{x})

Apply the derivative exponent rule:

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

= (\frac{3}{2})^{x} ln (\frac{3}{2})

What is the derivative of (3/2)^x ?
The derivative of (3/2)^x is (3/2)^xln(3/2)
What is the first derivative of (3/2)^x ?
The first derivative of (3/2)^x is (3/2)^xln(3/2)