`(x^(m+n)xxx^(n+l)xxx^(l+m))/(x^mxxx^nxxx^l)`

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f'(x)

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f^(prime)(x) is equal to (a) 1 (b) 0 (c) x^(l+m+n) (d) none of these

x^7xxx^6xxx^-2xxx^-1xxx^5=

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

If f(x) = (x^l/x^m)^(l+m) (x^m/x^n)^(m+n) (x^n/x^l)^(n+l) , then find f'(x).

Simplify : ((a^(m))/(a^(n)))^(m+n)((a^(n))/(a^(l)))^(n+l)((a^(l))/(a^(m)))^(l+m)

Show that : ((a^(m))/(a^(-n)))^(m-n)xx((a^(n))/(a^(-1)))^(n-1)xx((a^(l))/(a^(-m)))^(l-m)=1

If a=x^(m+n)\ y^l,\ b=x^(n+l)\ y^m and c=x^(l+m)y^n , prove that a^(m-n)\ b^(n-l)\ c^(l-m\ )=1

If a = x^(m + n) . Y^(l), b = x^(n + l). Y^(m) and c = x^(l + m) . Y^(n) , Prove that : a^(m-n) . b^(n - 1) . c^(l-m) = 1

If (alpha, beta) is the foot of perpendicular from (x_1, y_1) to line lx+my+n=0 , then (A) (x_1 - alpha)/l = (y_1 - beta)/m (B) (x-1 - alpha)/l) = (lx_1 + my_1 + n)/(l^2+m^2) (C) (y_1 - beta)/m = (lx_1 + my_1 +n)/(l^2 +m^2) (D) (x-alpha)/l = (lalpha+mbeta+n)/(l^2+m^2)