Sponsor Area

Continuity And Differentiability

Question
CBSEENMA12034897

Differentiate the following w.r.t.x: ex sin x

Solution
Let space space space space space straight y equals straight e to the power of straight x sin space straight x
therefore space dy over dx equals straight e to the power of straight x straight d over dx left parenthesis sin space straight x right parenthesis plus sin space straight x. straight d over dx left parenthesis straight e to the power of straight x right parenthesis
space space space space space space space space space space space space space equals straight e to the power of straight x. cos space straight x plus sin. straight e to the power of straight x equals straight e to the power of straight x left parenthesis cos space straight x plus sin space straight x right parenthesis

Some More Questions From Continuity and Differentiability Chapter