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 f(x)=sqrt(x^2+a x+4) is defined for all x , then 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 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 f(x)=sqrt(x^2+a x+4) is defined for all x , 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

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

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)