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Severity: Notice

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Sponsor Area

Continuity And Differentiability

Question

$Differentiate space straight x squared space straight w. straight r. straight t space straight x cubed$

Solution

Let space straight y equals straight x cubed comma space straight u equals straight x cubed therefore space space space space space dy over dx equals 2 straight x comma space du over dx equals 3 straight x squared Now space dy over dx equals fraction numerator begin display style dy over dx end style over denominator begin display style du over dx end style end fraction equals fraction numerator 2 straight x over denominator 3 straight x squared end fraction equals fraction numerator 2 over denominator 3 straight x end fraction