To find the derivative of $y = 26^x$ with respect to $x$, we can use the formula for the derivative of an exponential function:

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

Where $a$ is the base of the exponential. Here, $a = 26$.

So, applying the formula:

$\frac{dy}{dx} = 26^x \ln(26)$

Thus, the derivative of $y = 26^x$ is:

$\frac{dy}{dx} = 26^x \ln(26)$

Would you like more details on how this derivative was derived? Or do you have other questions?

Here are 5 related questions for further exploration:

1. What does $\ln(26)$ represent, and how is it calculated?
2. How do you find the derivative of more complex exponential functions like $y = a^x + b^x$?
3. What is the difference between a logarithmic and an exponential function?
4. How would you compute the derivative of a function like $y = 26^{3x}$?
5. What are some applications of derivatives of exponential functions in real-world problems?

Tip: When working with exponential functions, remember that the natural logarithm $\ln(a)$ is key to finding the derivative!