Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following functions :

x100 

Answer

LKet  y = x100 

∴   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

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