[See Solution] If a is a natural number, prove (by using induction) that y=[ g(x) ]^a <=> y'=a[ g(x)
Question: If a is a natural number, prove (by using induction) that
\[y={{\left[ g\left( x \right) \right]}^{a}}\,\,\,\Rightarrow \,\,\,\,y'=a{{\left[ g\left( x \right) \right]}^{a-1}}g'\left( x \right)\]
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