Question

the number of points in(-infinity to +infinity) for which x^2-xsinx-cosx=0is1) 12) 43)64)0

Answer 1

the number of points in(- to +) for which x²-xsinx-cosx=0

Let , f(x) = x²-xsinx – cosx

F’(x) = 2x – xcosx – sinx +sinx

F’(x) = 2x – xcosx

= (0,-1)

=

F(0) = -1

So, if we see there exists only two points as the point (0,-1) makes a curve at two points

Hence , it has two solutions

The answer is two