Home
Class 12
MATHS
Find (dy)/(dx) if, y=x^n+n^x+x^x+n^n...

Find `(dy)/(dx)` if, `y=x^n+n^x+x^x+n^n`

Text Solution

Verified by Experts

Given that,
`y=x^n+n^x+x^x+n^n`
`(dy)/(dx)=d/(dx)[x^n+n^x+x^x+n^n]`
`=d/(dx)x^n+d/(dx) n^x+d/(dx) x^x+d/(dx)n^n`
`=nx^(n-1)+n^x log n+x^x(1+logx)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if x^my^n=x^m+y^n

Solve: (dy)/(dx)+y/x=x^n

Find (dy)/(dx) , when: x^(n)+y^(n)=a^(n)

" Find "(dy)/(dx)" if "x^(m)y^(n)=x^(m)+y^(n)

Find dy/dx if x^my^n=(x+y)^(m+n)

Find (dy)/(dx) if x^(m)y^(n)=((x)/(y))^(m+n)

Find dy/dx if y is equal to : x^(x^n) +x^(n^x)

If y=x^n . find dy/dx

Solve the following differential equation: (dy)/(dx)+y tan x=x^(n)cos x,n!=-1