Calculate the derivative of the function y = 10^x.

The derivative of y = 10^x is y' = ln(10) * 10^x.

To find the derivative of y = 10^x, we can use the formula for the derivative of exponential functions: y' = a^x * ln(a), where a is the base of the exponential function. In this case, a = 10, so we have:

y' = 10^x * ln(10)

Simplifying this expression, we get:

y' = ln(10) * 10^x

Therefore, the derivative of y = 10^x is y' = ln(10) * 10^x. This means that the slope of the tangent line to the graph of y = 10^x at any point (x, y) is ln(10) * 10^x. We can also see that the derivative of y = 10^x is always positive, since ln(10) is a positive constant and 10^x is always positive. This means that the graph of y = 10^x is always increasing, and has no local maxima or minima.