Home
Class 12
MATHS
If x^(p) y^(q) = (x + y)^((p + q)) " the...

If `x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)=` ?

A

independent of p

B

independent of q

C

dependent on both p and q

D

`(y)/(x)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 3|25 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -I|6 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|17 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

If x^(p)y^(q)=(x+y)^(p+q) , prove that (dy)/(dx)=(y)/(x)

x^(p)*y^(q) = (x+y)^(p+q) prove that dy/dx= y/x

If x^py^q=(x+y)^(p+q) then the value of (d^(2)y)/(dx^(2)) is (where p,q in N ) (A) 0 (B) -1 (C) 1(D) None of these

If x^(p)y^(q)=(x+y)^(p+q) , show that dy/dx=y/x .

If x^py^q=(x+y)^(p+q) , then dy/dx= (a) x/y (b) y/x (c) x/(x+y) (d) y/(y+x)

If y = (1)/(1+x^( p-r) +x^(q-r)) +(1)/( 1+ x^(p-q) +x^(r-q) )+ (1) /( 1+x^(q-p) +x^(r-p)),then (dy)/(dx) =

Q.if y=x^(2)sin x, then (dy)/(dx) will be-

If x=a cos q,y=b sin q, then dy/dx=

If the integrating factor of the differential equation (dy)/(dx) +P (x) y = Q (x) is x , then P (x) is