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Limits And Derivatives

Question

Find the derivatives of the following functions :

x¹⁰⁰

Solution

LKet y = x^¹⁰⁰

∴ $space space space space space space space space space space space dy over dx equals 100 straight x to the power of 100 minus 1 end exponent equals 100 straight x to the power of 99$ $space space space space space space space space space space space space space space space open square brackets because straight d over dx left parenthesis straight x to the power of straight n right parenthesis equals nx to the power of straight n minus 1 end exponent close square brackets$