If x^(16)y^(9)=(x^(2)+y)^(17), prove tha...

If `x^(16)y^(9)=(x^(2)+y)^(17)`, prove that `dy/dx=(2y)/x`.

AI Generated Solution

CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(d) (SHORT ANSWER TYPE QUESTIONS)|26 Videos
CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(e) (SHORT ANSWER TYPE QUESTIONS)|23 Videos
CONTINUITY AND DIFFERENTIABILITY
MODERN PUBLICATION|Exercise EXERCISE 5(b) (LONG ANSWER TYPE QUESTIONS (I))|17 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
DETERMINANTS
MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

If x^(16)y^(9)=(x^(2)+y)^(17), prove that x(dy)/(dx)=2y

if sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=c prove that (dy)/(dx)=(y)/(x)

If tan ^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=a, prove that (dy)/(dx)=(x)/(y)((1-tan a))/((1+tan a))

If cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=tan^(-1)a, prove that (dy)/(dx)=(y)/(x)

If y=x+(1)/(x+(1)/(x+(1)/(x+1))), prove that (dy)/(dx)=(y)/(2y-x)

If y=a^(x^(x^(2)*oo)), prove that (dy)/(dx)=(y^(2)log y)/(x(1-y log x*log y))

If ye^(y)=x, prove that,(dy)/(dx)=(y)/(x(1+y))

If y=x+(1)/(x+(1)/(x+(1)/(x+))), prove that (dy)/(dx)=(y)/(2y-x)

If tan((x^(2)-y^(2))/(x^(2)+y^(2)))=a then prove that (dy)/(dx)=(y)/(x)