Which of the following pair(s) of function have same graphs? `f(x)=(secx)/(cosx)-(tanx)/(cotx),g(x)=(cosx)/(secx)+(sinx)/(c o s e c x)`

Find f'(x) , given f(x)=(cosx)/(1+sinx)

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

int((e^(x)+cosx))/(e^(x)+sinx+2)dx :

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

Which of the following is/are correct ? (a) (tanx)^(ln (cosx))lt(cotx)^(ln(cosx))AAx in(pi/4,pi/2) (b) (sinx)^(ln (secx))gt(cosx)^(ln(cosx))AA x in(0,pi/4) (c ) (sec. pi/3)^(ln (tanx))gt(sec. pi/3)^(ln(cosx))AA x in (pi/4,pi/2) (d) (1/2)^(ln(sinx))gt(3/4)^(ln(sinx))AA x in(0,pi/2)

Which of the following function is (are) even, odd, or neither? f(x)=x^2sinx f(x)=sqrt(1+x+x^2)-sqrt(1-x+x^2) f(x)=log((1-x)/(1+x)) f(x)=log(x+sqrt(1+x^2)) f(x)=sinx-cosx f(x)=(e^x+e^(-x))/2

Find the period (if periodic) of the following function f(x)=e^(log(sinx))+tan^3x-cos e c(3x-5)

int_(0)^(pi)(x tanx)/(secx+cosx)dx is

int(secx)/(sqrt(2sin(x+A)cosx)) .dx