If `y=(ax^2)/((x-a)(x-b)(x-c))+(b x)/((x-b)(x-c))+c/(x-c)+1`, then prove that `(y')/y=1/x[a/(a-x)+b/(b-x)+c/(c-x)]`

If y= (ax^(2))/((x-a)(x-b) (x-c)) + (bx)/((x-b) (x-c))+ (c )/((x-c)) + 1 then prove that (y')/(y)= (1)/(x) [(a)/(a-x) + (b)/(b-x) + (c)/(c-x)]

If y=(ax^(2))/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+(c)/(x-c)+1 then (y')/(y)=

If y=(ax^(2))/((x-a)(x-b)(x-c))+(bx)/( (x-b)(x-c))+(c )/(x-c) +1 , prove that (dy)/(dx) =(y)/(x) [(a)/( a-x)+(b)/(b-x)+(c )/(c-x)]

If y=(ax^(2))/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+(c)/(x-c)+1 find (dy)/(dx)

Prove that (ax^(2))/((x -a)(x-b)(x-c))+(bx)/((x -b)(x-c))+(c)/(x-c)+1 = (x^(3))/((x-a)(x-b)(x-c)) .

Prove that (ax^(2))/((x -a)(x-b)(x-c))+(bx)/((x -b)(x-c))+(c)/(x-c)+1 = (x^(3))/((x-a)(x-b)(x-c)) .

If |(a,y,z),(x,b,z),(x,y,c)|=0 , then prove that (a)/(a-x)+(b)/(b-y)+(c)/(c-z)=2

If (y+z-x)/(b+c-a) = (z+x-y)/(c+a-b) = (x+y -z)/(a + b - c)", then prove that "x/a = y/b = z/c .

If (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then prove that x^(b+c).y^(c+a).z^(a+b) = 1