Let `f(x)=((x-1)^(3)(x+2)^(4)(x+3)^(5)(x+6))/(x^(2)(x-7)^(3))`

If f(x)=((x-1)^3(x+2)^4(x-3)^5(x+6))/(x^2(x-7)^3) , Solve the following inequality f >= 0

The number of integral solution of (x^(2)(3x-4)^(3)(x-2)^(4))/(In(2x-1)(x-5)^(5)(2x-7)^(6))le 0 is :

Let f(x)=8x^(3)-6x^(2)-2x+1, then

Let f (x) =-4.e ^((1-x)/(2))+ (x ^(3))/(3 ) + (x ^(2))/(2)+ x+1 and g be inverse function of f and h (x)= (a+bx ^(3//2))/(x ^(5//4)),h '(5)=0, then (a^(2))/(5b^(2) g'((-7)/(6)))=

Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5) and let g (x) = f ^(-1) (x). Find g''(o).

Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5) and let g (x) = f ^(-1) (x). Find g'''(o).

If the area bounded by y=f(x), x=(1)/(2),x=(sqrt3)/(2) and the X-axis is A sq units where f(x)= x+(2)/(3)x^(3)+(2)/(3).(4)/(5)x^(5)+(2)/(3).(4)/(5).(6)/(7)x^(7) +...oo,|x|lt1, Then the value of [4A] is (where[.] is G.I.F)

Let f(x)=((x-3)(x+2)(x+5))/((x+1)(x-7)) . Find the intervals were f(x) is positive or negative .

If f(x)=(2x)/(5)+(7)/(3), f^(-1)(x)=

Let f (x) = (x ^(3) -4)/((x-1)^(3)) AA x ne 1, g (x)== (x ^(4) -2x ^(2))/(4) AA x in R, h (x) (x ^(3) +4)/((x+1)^(3)) AA x ne -1,