



 
Hi Melissa, The differential of T is an estimate of the change in T for a small change in L. The differential dT of T is given by
where dT/dL is the derivative of T with respect to L and dL is the small change in L. Find the derivative dT/dL and evaluate it at L = 4 feet. dL is the change in L which is 0.03 feet. Use these values to find dT. This is your estimate for the change in the period T in seconds caused by the change in L. Since the period is smaller than it should be the clock will tick more times than it should in 24 hours. I hope this helps,  


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