Continuity And Differentiability

Question

Find the second order derivatives of the following functions : x²⁰

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Solution

Let space space space space space space space space space straight y equals straight x to the power of 20 space therefore space space space space space dy over dx equals 20 straight x to the power of 19 and space fraction numerator straight d squared straight y over denominator dx squared end fraction equals 380 straight x to the power of 18