Questions: Differentiate the function. f(x)=2^60 f'(x)=

Transcript text: Differentiate the function. \[ \begin{array}{c} f(x)=2^{60} \\ f^{\prime}(x)=\square \end{array} \]

Solution

To differentiate the function \( f(x) = 2^{60} \), we need to recognize that \( 2^{60} \) is a constant. The derivative of a constant is always zero.

Step 1: Define the Function

We start with the function \( f(x) = 2^{60} \). This is a constant function because \( 2^{60} \) is a constant value.

Step 2: Differentiate the Function

The derivative of a constant function is always zero. Therefore, the derivative of \( f(x) = 2^{60} \) is: \[ f'(x) = 0 \]

\[ \boxed{f'(x) = 0} \]

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