Differentiate the following functions with respect ot x.
(x cosx + sinx) (e^x+ x³)

Question

Differentiate the following functions with respect ot x
(x cosx + sinx) (ex+ x3)

Priyanka Kedia · Accepted Answer

ddxxcosx+sinxex+x3=xcosx+sinxddxex+x3+ex+x3ddxxcosx+sinx                                                =xcosx+sinxddxex+ddxx3+ex+x3ddxxcosx+ddxsinx                                                =xcosx+sinxex+3x2+ex+x3xddxcosx+cosxddxx+cosx                                                =xcosx+sinxex+3x2+ex+x3-xsinx+cosx+cosx                                                =xcosx+sinxex+3x2+ex+x32cosx-xsinx⇒ddxxcosx+sinxex+x3=xcosx+sinxex+3x2+ex+x32cosx-xsinx

Differentiate the following functions with respect ot x. (x cosx + sinx) (ex+ x3)

Differentiate the following functions with respect ot x.
(x cosx + sinx) (e^x+ x³)