What is the derivative of (2.5^x) ?

The derivative of (2.5^x) is 0.91629…*2.5^x

What is the first derivative of (2.5^x) ?

The first derivative of (2.5^x) is 0.91629…*2.5^x

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\frac{d}{d x} ((2.5)^{x})

0.91629 \dots \cdot 2. 5^{x}

Solution steps

\frac{d}{d x} ((2.5)^{x})

Apply the derivative exponent rule:

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

= 2. 5^{x} ln (2.5)

Refine to a decimal form

= 0.91629 \dots \cdot 2. 5^{x}

What is the derivative of (2.5^x) ?
The derivative of (2.5^x) is 0.91629…*2.5^x
What is the first derivative of (2.5^x) ?
The first derivative of (2.5^x) is 0.91629…*2.5^x