Home
Class 12
MATHS
In each of the following cases find (dy)...

In each of the following cases find `(dy)/(dx)` using the rule `(dy)/(dx)=(dy)/(du)*(du)/(dx):`
`y="cosec"^(3)x` assuming `"cosec"x=u`.

Text Solution

Verified by Experts

The correct Answer is:
`-3"cosec"^(3) x cot x`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A ( Short Answer Type Questions)|72 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A ( Long Answer Type Questions)|50 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dx) : y=log(ax+b)^(3) assuming ax+b=u .

(dy)/(dx)=x+y

In each of the following cases find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dx): y=sqrt(tan^(-1)x) assuming tan^(-1)x=u .

In each of the following cases find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dx): y=m^(ax^(2)+bx+c) assuming ax^(2)+bx+c=u .

(dy)/(dx)=(y-x)^(2)

Find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dv)*(dv)/(dx): y=cos^(-1) sqrt(2x-3)

Find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dv)*(dv)/(dx): y=e^(sqrt(cos x))

(dy)/(dx)=(y-x)/(x+y)

Find (dy)/(dx) using the rule (dy)/(dx)=(dy)/(du)*(du)/(dv)*(dv)/(dx): y=log_(2)(sin x^(3))

(dy)/(dx)=(y)/(x)-tan""(y)/(x)