Find the derivative of the y=ln(11x+41)𝑦=𝑙𝑛(11𝑥+41)Question 1Answera. 𝑑𝑦𝑑𝑥=11(11𝑥+41)b. 𝑑𝑦𝑑𝑥=11(𝑥+41)c. 𝑑𝑦𝑑𝑥=41(𝑥+41)d. 𝑑𝑦𝑑𝑥=41(11𝑥+41)e.

The derivative of y=ln(11x+41) can be found using 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.

Step 1: Identify the outer and inner functions. Here, the outer function is ln(x) and the inner function is 11x+41.

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

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

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

So, the derivative of y=ln(11x+41) is 11/(11x+41). This corresponds to option a. 𝑑𝑦𝑑𝑥=11/(11𝑥+41).