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## Homework Statement

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)

## Homework Equations

## 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?