Home
Class 12
MATHS
Find (dy)/(dx), when: y=sin2x sin 3x si...

Find `(dy)/(dx)`, when: `y=sin2x sin 3x sin 4x`

Text Solution

Verified by Experts

The correct Answer is:
`(sin2x sin 3x sin 4x)(2cot 2x+3 cot 3x+4 cot 4x)`
`logy=logsin2x+log sin 3x+log sin 4x`
`rArr(1)/(y).(dy)/(dx)={(2cos2x)/(sin 2x)+(3cos3x)/(sin3x)+(4 cos 4x)/(sin 4x)}.`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10G|8 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10H|10 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10E|24 Videos

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19B|60 Videos

  • FUNCTIONS

    RS AGGARWAL|Exercise Exercise 2D|11 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) , when: y=x^(sin2x)

Find (dy)/(dx) when 2x+3y=sin x

Find (dy)/(dx) , when: y=sin(x^(x))

Find (dy)/(dx) if,y=sin x sin2x sin3x sin4x

Find (dy)/(dx) , when: y=(sin^(-1)x)^(x)

Find (dy)/(dx) , when : If y=((cos x - sin x))/((cos x + sin x)) , prove that (dy)/(dx)+y^(2)+1=0 .

Find (dy)/(dx) , when: y=2^(x).e^(3x)sin4x

Find (dy)/(dx), when y=sqrt((1-sin x)/(1+sin x))

Find (dy)/(dx) , when: y=e^(x)sin^(3)xcos^(4)x

Find (dy)/(dx), if y=(sin x)^((sin x)^(sin x-oo))