[" if the fenction "],[qquad f(x)quad [[5x-4,0,

Examine the differentiablity at x = 0,1,2 of the function f defined by f(x)={(4-x,xle0),(5x+4,0ltxle1),(4x^2-3x,1ltxlt2),(3x+4,xge2):}

Statement - 1 : Rolle's Theorem can be applied to the function f(x)=1+(x-2)^(4//5) in the interval [0, 4] and Statement - 2 : f(x) is continuous in [0, 4] and f(0)=f(4) .

If f(x)=|x-3|+|x-4| , then in the interval 0 le x le 5 , the function f(x) is -

What is the maximum value f(x)="min "(4-5x, x-3)" for every "x in (0, 4) ?

If f(x) = (sin 5x)/(2x) (when x!=0 ) = (5k)/4 (when x= 0), and f(x) is continuous at x=0, find k.

If f(x)=((3)/(5))^(x)+((4)/(5))^(x)-1,x inR, then the equation f(x)=0 has :

If f(x)=((3)/(5))^(x)+((4)/(5))^(x)-1,x in R, then the equation f(x)=0 has :