Home
Class 12
MATHS
Derivative of x^(2) w.r.t. x^(3) is...

Derivative of `x^(2)` w.r.t. `x^(3)` is

Text Solution

Verified by Experts

Derivative of `x^(2)` w.r.t. `x^(3)` is `(2)/(3x)`
Let `u = x^(2)` and `v = x^(2)`
`:. (du)/(dx) = 2x` and `(dv)/(dx) = 3x^(2)`
`rArr (du)/(dv) = (2x)/(3x^(2)) = (2)/(3x)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT EXEMPLAR|Exercise Application Of Integrals|68 Videos

  • DETERMINANTS

    NCERT EXEMPLAR|Exercise Determinants|58 Videos

Similar Questions

Explore conceptually related problems

If y=x-x^(2), then the derivative of y^(2) w.r.t x^(2) is

The derivative of y=x^(2^(x)) w.r.t. x is

The derivative of cos^(3)x w.r.t. sin^(3)x is

What is the derivation of x^(3) w.r.t. x^(2) ?

Derivative of sinx^(3) w.r.t. x is :

The derivative of x^(x) w.r.t. x is ___________.

Find the derivative of 7^(x) w.r.t x^(7).

Derivative of x ^(x) w.r.t xlogx is

The derivative of y = x^2logx w.r.t. x is :

NCERT EXEMPLAR-CONTINUITY AND DIFFERENTIABILITY-Continuity And Differentiability
  1. For the function f(x) = x + 1/x, x in [1,3] , the value of c for me...

    Text Solution

    |

  2. An example of a function which is continuous every where but fails to...

    Text Solution

    |

  3. Derivative of x^(2) w.r.t. x^(3) is

    Text Solution

    |

  4. If f(x) = |cosx|, then f'(pi/4) is equal to "……."

    Text Solution

    |

  5. For the curve sqrt(x)+sqrt(y)=1 , (dy)/(dx) at (1//4,\ 1//4) is 1//2 (...

    Text Solution

    |

  6. Rolle's theorem is applicable for the function f(x) = |x-1| in [0,2].

    Text Solution

    |

  7. If f is continuous on its domain D; then |f| is also continuous on D

    Text Solution

    |

  8. If f is continuous on its domain D; then |f| is also continuous on D

    Text Solution

    |

  9. The composition of two continuous function is a continuous function.

    Text Solution

    |

  10. Trigonometric and inverse trigonometric functions are differentiable ...

    Text Solution

    |

  11. If f.g is continuous at x = 0 , then f and g are separately continuou...

    Text Solution

    |

  12. Examine contnuity of the function f(x) = x^(3) + 2x^(2)- 1 at x = 1.

    Text Solution

    |

  13. f(x)={{:(3x+5, if x ge 2),(x^(3), if x le 2):}at x = 2

    Text Solution

    |

  14. f(x)={{:((1-cos2x)/(x^(2)),if x ne 0),(5, if x = 0):} at x = 0.

    Text Solution

    |

  15. f(x) = {{:((2x^(2)-3x-2)/(x-2), if x ne 2), (5, if x = 2):} at x = 2.

    Text Solution

    |

  16. f(x)= {{:((|x-4|)/(2(x-4)), if x ne 4),(0,if x = 4):} at x = 4.

    Text Solution

    |

  17. f(x)={{:(|x|cos\ 1/x, if x ne 0),(0, if x =0):} at x = 0 .

    Text Solution

    |

  18. f(x) = {{:(|x|sin\ (1)/(x-a),if x ne 0),(0, if x =a):} at x = a

    Text Solution

    |

  19. f(x)={{:(e^(1//x)/(1+e^(1//x)),if x ne 0),(0,if x = 0):} at x = 0

    Text Solution

    |

  20. {{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if l lt x le 2):} at x = ...

    Text Solution

    |