(9) If `1/(3!) +1/(4!) = x/(6!)` then find `x`

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

Solve : (2x)/(3)-(x-1)/(6)+(7x-1)/(4)=2(1)/(6) . Hence, find the value of 'a', if (1)/(a)+5x=8 .

If for x in (0,1/4) , the derivation of tan^(-1)((6xsqrtx)/(1-9x^3)) is sqrt(xg(x) , then find g(x).

If y=6 x^(5)-4x^(4)+2x^(2)+3x+2 , then find (dy)/(dx) at x=-1.

If (5x)/4 +(6-x)/8 = (6(x+3))/3-1/6 then x = ?

Find \ x in each of the following: 1/(4!)+1/(5!)=x/(6!)

If Delta(x)=|{:(a,b,c),(6,4,3),(x,x^(2),x^(3)):}| then find int_(0)^(1) Delta (x) dx.

If 1,1,alpha are the roots of x^3 -6x^2 +9 x-4=0 then find ' alpha'

If x^4+1/(x^4)=194 ,\ find x^3+1/(x^3),\ x^2+1/(x^2) and x+1/x

If tan^-1 ((x-3)/(x-4))+tan^-1((x+3)/(x+4))=pi/4 , find x