Solving Logarithmic Functions in Calculus

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Mathematics

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Explanation & Answer

The given below F(x) is a T(x) function when k=4.15, on differentiating we get,

interest rates T(r) T'(r) rounded T(r) roundedT'(r)
2.5 0.626939257 -0.228497626 0.63 -0.23
3.5 0.46356546 -0.116868772 0.46 -0.17
4.5 0.372552219 -0.070909849 0.37 -0.07
6.5 0.274078 -0.034229967 0.27 -0.03
7.5 0.244357748 -0.025813878 0.24 -0.03
8.5 0.221536332 -0.02018259 0.22 -0.02
As the interest rate increases, T(r) value decreases ,T'(r) also increases



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