`y=x-|x-x^3|-1lt=xlt=1` graph ?

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relation g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relating g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

If y=e^acos^((-1)x) , -1lt=xlt=1 , show that (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0 .

If y=e^(acos^(-1)x), -1lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0 .

If y=e^{a\cos ^{-1}x},-1lt=xlt=1, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0 .

If y=e^(acos^(-1)x) , -1lt=xlt=1 , show that (1-x^2) (d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0 .

Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, where -1lt=xlt=1.

Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, where -1lt=xlt=1.

Let f(x)=x^3-3x^2+6AAx in R and g(x)={m a x :f(t ; x+1lt=tlt=x+2,-3lt=xlt=0 1-x ,xgeq .Find continuity and differentiability of g(x) for x in [-3,1]

Iff(x)={3x^2+12 x-1,-1lt=xlt=2 37-x ,2