Find the derivative of the y=ln(11x+41)

To find the derivative of the function y = ln(11x + 41), we will use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here are the steps:

1. Identify the outer function and the inner function. In this case, the outer function is ln(x) and the inner function is 11x + 41.

2. Find the derivative of the outer function. The derivative of ln(x) is 1/x.

3. Find the derivative of the inner function. The derivative of 11x + 41 is 11.

4. Apply the chain rule. According to the chain rule, the derivative of y = ln(11x + 41) is (1/(11x + 41)) * 11.

5. Simplify the expression. The 11 in the numerator and the 11 in the denominator cancel out, leaving us with 1/(11x + 41) as the derivative of the function y = ln(11x + 41).