1.

If 3f(cosx)+2f(sinx)=5x, then f^(')(cosx) is equal to (where f^(') denotes derivative with respect tox)

Answer»

`-5/(COSX)`
`5/(cosx)`
`-5/(sinx)`
`5/(sinx)`

Solution :`3F(cosx)+2f(sinx)=5x` …………i
`3f(sinx)+2f(cosx)=5(pi//2-x)`………..ii
Solving EQUATION i and ii simultaneously we get
`F(cosx)=5x-pi`
`-sinx,f^(')(cosx)=5,f^(')(cosx)=-5//sinx`


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