CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The number of solutions(s) of the equation 3 tan x+x3=2 x (0,π4) is .


Solution

Let f(x) = 3 tan x+x32 Thus,f'(x)=3 sec2x+3x2>0.Hence, f(x) is increasing function.Also, f(0+)=2 <0 and f(π4)>0.So, by Intermediate Value Theorem,f(x)=0 has exactly one root in (0,π4)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More...


People also searched for
QuestionImage
QuestionImage
View More...



footer-image