If `f(x)=(cosx+ sinx)/(tanx+cotx)` then function `f(x)` is

Find dy/dx for the function: f(x)=e^x(sinx-cosx) .

If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt_(xto0)(f'(x))/x=

f(x) = e^(sinx+cosx) is an increasing function in

If f(x)=(x+cosx)(x-tanx)," find "f^(')(x) .

The function f(x)=sinx+cosx will be

If f(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}] , then show that f(x)*f(y)=f(x+y) .

Sometimes functions are defined like f(x)=max{sinx,cosx} , then f(x) is splitted like f(x)={{:(cosx, x in (0,(pi)/(4)]),(sinx, x in ((pi)/(4),(pi)/(2)]):} etc. If f(x)=min{tanx, cotx} then f(x)=1 when x=

Sometimes functions are defined like f(x)=max{sinx,cosx} , then f(x) is splitted like f(x)={{:(cosx, x in (0,(pi)/(4)]),(sinx, x in ((pi)/(4),(pi)/(2)]):} etc. If f(x)=min{tanx, cotx} then f(x)=1 when x=

The function f(x)=(sinx+cosx) is an increasing function in

Column I: Function, Column II: Period f(x)="cos"(|sinx|-|cosx|) , p. pi f(x)="cos"(tanx+cotx)cos(tanx-cotx) , q. pi/2 f(x)=sin^(-1)(sinx)+e^(tanx) , r. 4/pi f(x)=sin^3xsin3x , s. 2pi