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

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

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

If y=x^n ,Find dy/dx

If y=f(a^x)a n df^(prime)(sinx)=(log)_e x ,t h e n find (dy)/(dx), if it exists, where pi//2

Solve each of the following initial value problem: (dy)/(dx)+\ y\ t a n x=2x+x^2t a n x ,\ y\ (0)=1\

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

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)

If (d)/(dx)[ x^(n+1)+c]=(n+1)x^(n) , then find int x^(n)dx .

If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a) (n y)/(sqrt(x^2+a^2)) (b) -(n y)/(sqrt(x^2+a^2)) (c) (n x)/(sqrt(x^2+a^2)) (d) -(n x)/(sqrt(x^2+a^2))

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2+a^2)