The function `(sin(x+a))/(sin(x+b))` has no maxima or minima if

int (dx)/(sin(x-a)sin(x-b)

Integrate the functions (sinx)/(sin(x-a)

STATEMENT-1: f(x)=|x-1|+|x+2|+|x-3| has a local minima . and STATEMENT-2 : Any differentiable function f(x) may have a local maxima or minima if f'(x)=0 at some points

The equation e^(sin x)-e^(-sin x)-4=0 has

The function f(x) = sin ^(-1)(cos x) is

Show that the function x^(3)- 3x^(2)+3x+1 has neither a maxima nor a minima.

Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor minima.

Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor minima.

If f(x)=int_0^x(sint)/t dt ,x >0, then (a) f(x) has a local maxima at x=npi(n=2k ,k in I^+) (b) f(x) has a local minima at x=npi(n=2k ,k in I^+) (c) f(x) has neither maxima nor minima at x=npi(n in I^+) (d) (f)x has local maxima at x=npi(n=2k -1, k in I^+)

Prove that the following functions do not have maxima or minima:(i) f (x) = e x (ii) g(x) = log x (iii) h(x)=x^3+x^2+x+1