Question: For the following problems use only the definition of differentiability.Prove that f(x)=3x2+5xis differentiable atx=2.Prove that f(x)=x3is differentiable atx=8.Prove that f:(0,)R,f(x)=1x2is differentiable everywhere.Find the points where

For the following problems use only the definition of differentiability.Prove that f(x)=3x2+5xis differentiable atx=2.Prove that f(x)=x3is differentiable atx=8.Prove that f:(0,)R,f(x)=1x2is differentiable everywhere.Find the points where f:RR,f(x)=x25is differentiable.Find the points where f(x)=x+3x-5is differentiable.

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