`f(x)={-x^2/2` for `x<1`; `3/2x^2+1` for `xgeq1` then:

If f(x)={x^2, for xgeq1 ; x for x<0 ,then fof(x) is given by

Find the points of discontinuity, if any, of the following function: f(x)={-2 , if xlt=-1 2x , if-1

Let f:[1,oo) to [2,oo) be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Let f:[1,oo) → [2, ∞) be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Find the equation of tangent and normal to the curve f(x)={x-2 if x<1x^2-x-1 if xgeq1 a t x=1 if it exists

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_1^xf(t)dt=3xf(x)-x^3 for all xgeq1, then the value of f(2) is

If f(x)=x^2 for xgeq1 and x for x<0 ,then fof(x) is given by