Home
Class 12
MATHS
Find (d^(2)y)/(dx^(2)), if y= x^(3)+ tan...

Find `(d^(2)y)/(dx^(2))`, if `y= x^(3)+ tan x`.

Text Solution

Verified by Experts

The correct Answer is:
`= 6x+2 sec^(2)x tan x`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXAMPLES|9 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.1|39 Videos
  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

Similar Questions

Explore conceptually related problems

Find the second derivative of the function (Find y" or (d ^(2) y)/(dx ^(2)) of the x ^(4) + tan x

If y= cos^(-1) x , Find (d^(2)y)/(dx^(2)) in terms of y alone.

Find the second derivative of the function ( y" or (d ^(2) y)/(dx ^(2)) ), y=sin ^(4) x

Find (dy)/(dx)," if "x= at^(2), y= 2at .

Find the second derivative of the function (Find y" or (d ^(2) y)/(dx ^(2)) of the cos ^(3) x

The degree of the differential equation (d^(2)y)/(dx^(2)) + 3((dy)/(dx))^(2) = x^(2) log((d^(2)y)/(dx^(2))) is

The order of the differential equation (d^(2)y)/(dx^(2)) + ((dy)/(dx))^(2) = x sin ((d^(2)y)/(dx^(2))) is

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

Verify that the function y = e^(-3x) is a solution of the differential equation (d^(2)y)/(dx^(2)) + (dy)/(dx) - 6y = 0

Find the order and degree of the following D.E's (i) (d^(2)y)/(dx^(2)) + 2((dy)/(dx))^(2) + 5y = 0 (ii) 2(d^(2)y)/(dx^(2)) = (5+(dy)/(dx))^((5)/(3)) (iii) 1+((d^(2)y)/(dx^(2)))^(2) = [2+((dy)/(dx))^(2)]^((3//2)) (iv) [(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)]^((6/(5)) = 6y (v) [((dy)/(dx))^(2) + (d^(2)y)/(dx^(2))]^((7)/(3)) = (d^(3y))/(dx^(3)) (vi) [((dy)/(dx))^((1)/(2)) + ((d^(2)y)/(dx^(2)))^((1)/(2))]^((1)/(4)) = 0 (vii) (d^(2)y)/(dx^(2)) + p^(2)y = 0 (viii) ((d^(3)y)/(dx^(3)))^(2) -3((dy)/(dx))^(2) - e^(x) = 4

NCERT TELUGU-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
  1. Find (d^(2)y)/(dx^(2)), if y= x^(3)+ tan x.

    Text Solution

    |

  2. Differentiate w.r.t.x the function (3x^(2)-9x+5)^(9)

    Text Solution

    |

  3. Differentiate w.r.t.x the function . sin^(3)x+ cos^(6)x

    Text Solution

    |

  4. Differentiate w.r.t.x the function in Exercises 1 to 11. (5x)^( 3 co...

    Text Solution

    |

  5. Differentiate w.r.t.x the function sin^(-1)(x sqrt(x)), 0 le x le 1.

    Text Solution

    |

  6. Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...

    Text Solution

    |

  7. Differentiate w.r.t.x the function in Exercises 1 to 11. cot^(-1)[(s...

    Text Solution

    |

  8. Differentiate w.r.t.x the function. (logx)^(log x), x gt 1.

    Text Solution

    |

  9. Differentiate w.r.t.x the function in cos( a cos x+ b sin x), for s...

    Text Solution

    |

  10. Differentiate w.r.t.x the function in Exercises 1 to 11. (sin x- cos...

    Text Solution

    |

  11. Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)...

    Text Solution

    |

  12. x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.

    Text Solution

    |

  13. Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t l...

    Text Solution

    |

  14. Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1.

    Text Solution

    |

  15. If xsqrt(1+y)+ysqrt(1+x)=0," for ", -1 lt x lt 1, prove that (dy)/(d...

    Text Solution

    |

  16. If (x-a)^(2)+(y-b)^(2)=c^(2), for some c gt 0, prove that ([1+((dy)/...

    Text Solution

    |

  17. If cos y= x cos (a+y), with cos a ne pm 1, prove that (dy)/(dx)=(cos^(...

    Text Solution

    |

  18. If x=a (cos t +t sin t)" and "y= a (sin t -t cos t), find (d^(2)y)/(dx...

    Text Solution

    |

  19. Using mathematical induction prove that (d)/(dx)(x^n)= nx^(n-1) for al...

    Text Solution

    |

  20. Using the fact the that sin (A+B)= sin A cos B+ cos A sin B and the di...

    Text Solution

    |

  21. Does there exist a function which is continuous everywhere but not dif...

    Text Solution

    |