Home
Class 11
MATHS
find the derivative; y = x^( cos x)...

find the derivative; `y = x^( cos x)`

Text Solution

Verified by Experts

The correct Answer is:
`x^( cos x) [ (1)/(x) cos x - sin x log x]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 (Choose the correct or the most suitable answer from the given four alternatives.)|25 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS|4 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 3 (Differentiate the following)|30 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    FULL MARKS|Exercise EXERCISE 9.6|25 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of y=x^(cos x) with respect to x.

Find the derivative of y = ln(cos x^2) .

Find the derivative of y = x tan x

Find the derivative of y = e^sin x

Find the derivative of y = log (cos x^3) .

find the derivative; x^(x) = y^(x)

Find the derivative of y = ln x^3

Find the derivative of y = ln x^2

Find the derivative of y = log 3x

Find the derivative of y = 10^(3x)

FULL MARKS-DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 4 (Differentiate the following)
  1. find the derivative; y = x^( cos x)

    Text Solution

    |

  2. Find the derivatives of the following : y = x^(log x) + (log x )^(x)

    Text Solution

    |

  3. find the derivative; sqrt(xy) = e^((x-y))

    Text Solution

    |

  4. find the derivative; x^(x) = y^(x)

    Text Solution

    |

  5. Differentiate the following w.r.t. x:( cos x)^(log x)

    Text Solution

    |

  6. Differentiate the following w.r.t. x; (x^2)/(a^2) + (y^2)/(b^2) =1

    Text Solution

    |

  7. Find the derivatives of the following : sqrt ( x^2 + y^2) = tan^(-1)...

    Text Solution

    |

  8. If tan (x + y) + tan (x - y) = x then find dy/dx

    Text Solution

    |

  9. If cos ( xy) = x, show that (dy)/(dx) = -((1+ y sin (xy)))/(x sin xy)

    Text Solution

    |

  10. Differentiate the following w.r.t. x; tan^(-1) sqrt((1 - cos x)/(1 + c...

    Text Solution

    |

  11. Find the derivatives of the following : tan^(-1) ((6x)/(1-9x^2))

    Text Solution

    |

  12. Find the derivatives of the following : cos [2 tan^(-1) sqrt((1 - x)/(...

    Text Solution

    |

  13. Find the derivatives of the following : x = a cos^(3) t , y = a sin^(3...

    Text Solution

    |

  14. If x =a ( cos t + t sin t), y = a [sin t-t cos t] then find dy/dx.

    Text Solution

    |

  15. Find the derivatives of the following : x = (1-t^2)/(1+t^2), y = (2t)...

    Text Solution

    |

  16. Find the derivatives of the following : cos^(-1) ((1 -x^2)/(1+x^2))

    Text Solution

    |

  17. Find the derivatives of the following : sin^(-1) (3x-4x^3)

    Text Solution

    |

  18. Find the derivatives of the following : tan^(-1) ((cos x + sin x)/(cos...

    Text Solution

    |

  19. Find the derivative of sin x^2 with respect to x^2.

    Text Solution

    |

  20. Find the derivative of sin^(-1) ((2x)/(1+x^2)) with respect to tan^(-1...

    Text Solution

    |