Who can help me solve this differentiation exercise?

Question

a) A simple pendulum consists of a small metal ball attached to a fixed point by a cord of length l centimetres. It takes T seconds to make one swing, where T=0.2sqrtl. Find dT/dl. (This I have solved) b) The cord originally has length 2.5 metres. If it is lengthened by 2 millimetres, calculate what effect this will have on the time of swing: I) by using your answer to part a. II) by direct evaluation of T.

Update:

So what would the numerical answer be?

Amy · Answer

Part 1 wants you to approximate the change in T by multiplying dT/dl by Δl.

Part 2 wants you to calculate the actual change in T by evaluating the original equation with l = 250 and l = 250.2

Who can help me solve this differentiation exercise?

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