Let `S={(lambda,mu) in RxxR :f(t)=(|lambda|e^(|t|)-mu). sin(2|t|),tinR,` is a differentiable function}. Then `S` is a subset of :

Suppose S= {t in R ,f(x)=|x-pi|.(e^(|x|)-1) sin |x| is no differentiable at t then set=………….

Let S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x| is not differentiable at t} Then the set S is equal to: (1) phi (2) {0} (3) {pi} (4) {0,pi}

Let S={t in R:f(x)=|x-pi|(e^(|x|)-1)sin|x|~ is~ not~ differentiable~ at~ t}~ Then~ the~ set~ sis equal to: (1)phi(2){0}(3){pi}(4){0,pi}

A particle moving on a curve has the position at time t given by x=f'(t) sin t + f''(t) cos t, y= f'(t) cos t - f''(t) sin t where f is a thrice differentiable function. Then prove that the velocity of the particle at time t is f'(t) +f'''(t) .

Differentiate the function f(t)=sqrt(t)(1-t)

If f(x) is an odd function then lambda+mu=