Let `u(x)` and `v(x)` are differentiable function such that `(u(x))/(v(x))=6`. If `(u'(x))/(v'(x))=p` and `((u(x))/(v(x)))'=q` then value of `(p+q)/(p-q)` is equal to

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7. If (u'(x))/(v'(x))=p and ((u'(x))/(v'(x)))=q, then (p+q)/(p-q) has the value of to (a) 1 (b) 0 (c) 7 (d) -7

Let u(x) a n dv(x) be differentiable functions such that (u(x))/(v(x))=7. (u^(prime)(x))/(v^(prime)(x))=pa n d((u(x))/(v(x)))'=q ,t h e n(p+q)/(p-q) has the value of to 1 (b) 0 (c) 7 (d) -7

If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2 , then find the value of f^(prime)(1) .

If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2 , then find the value of f^(prime)(1) .

Let u(x) and v(x) satisfy the differential equation (d u)/(dx)+p(x)u=f(x) and (d v)/(dx)+p(x)v=g(x) are continuous functions. If u(x_1) for some x_1 and f(x)>g(x) for all x > x_1, prove that any point (x , y), where x > x_1, does not satisfy the equations y=u(x) and y=v(x)dot

If u=3x^(12) and v=x^(6) then (du)/(dv) is

Let y= int_(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)=v'(x) f (v(x)) - u' (x) f(u(x)) and the equation of the tangent at (a,b) and y-b=((dy)/(dx))(a,b) (x-a) . If y=int_(x^(2))^(x^(4)) (In t) dt , "then" lim_(x to 0^(+)) (dy)/(dx) is equal to

If p (x) = x ^(2) -4x+8 and q 9x)=x-3, what is the value of (q (p (5)))/(p (q (5))) ?

Find the polynomials u(x) and v(x) such that (x^(4) -1) * u(x) + (x^(7) -1) * v(x) = (x-1) .

If u = (x-3)/( 2) and v= ( y-2)/( 3), then cov(u,v) = k cov(x,y) . The value of k is