1. The problem statement, all variables and given/known data When x=pi/4, the rate at which sinx^2 is increasing is k times the rate at which x is increasing. What is the value of k? (answer is 1) 2. Relevant equations 3. The attempt at a solution I plugged in pi/4 into sinx^2 and i got .5. i also took the derivative of sinx^2 and plugged in pi/4 to get the slope, which is 1. So it seems to me that I found the rate at which sinx^2 is increasing (1), but i dont know how to find the rate at which x is increasing. do i just take an average slope?