Let `f(x)=a/x+x^2dot` If it has a maximum at `x=-3,` then find the value of `adot`

Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xgeq1 if f(x) has a maximum at x=1, then find the values of alpha .

If x^2+2a x+a<0AAx in [1,3], the find the values of adot

If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the values of adot

If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of f(2)dot

If the function f(x) = axe^(bx^(2)) has maximum value at x=2 such that f(2) =1 , then find the values of a and b

If the function f(x)=(x^2-(A+2)x+A)/(x-2),forx!=2a n df(2)=2, is continuous at x=2, then find the value of Adot

If the equation x^2+2a x+a<0AAx in [1,2], the find the values of adot

If the line x+y=a touches the parabola y=x-x^2, then find the value of adot

Let [x] denotes the greatest integer less than or equal to x . If the function f(x)="tan"(sqrt([n])x) has period pi/3dot then find the value of ndot

If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible values of adot