Derivative of y = 3x^18 + lnx: Step-by-Step Solution

To find the derivative of y = 3x^18 + lnx, we will use the sum rule and the chain rule.

The derivative of 3x^18 is:

dy/dx = 3 * d/dx(x^18) = 3 * 18x^17 = 54x^17

The derivative of ln(x) is:

dy/dx = d/dx(ln(x)) = 1/x

Using the sum rule, we can add these two derivatives together to get the derivative of y:

dy/dx = 54x^17 + 1/x

Therefore, the derivative of y = 3x^18 + lnx is dy/dx = 54x^17 + 1/x.