Home
Class 12
MATHS
Find the derivatives of e^sqrt(cot x)...

Find the derivatives of
`e^sqrt(cot x)`

Text Solution

Verified by Experts

The correct Answer is:
`=-e^(sqrt(cotx))*(1)/(2sqrtcotx)*cosec^(2)x=-(e^(sqrt(cotx)*)cosec^(2)x)/(2sqrt(cotc))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Multiple Choice Type Questions|14 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Very short Answer Type Questions|38 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find from the definition, the derivatives of sqrt(cotx)

Find from definition the derivatives of 3sqrt(cos x)

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

Find the derivative of e^(sqrt(x)) w.r.t. x using the first principle.

Find from the definition, the derivatives of sqrt(px+q)

Find the derivative of sqrt(5-x) w.r.t. x .

Find the derivatives w.r.t. x : sqrt(x) log sqrt(x)

Find the derivative of sqrt(4-x) w.r.t. x using the first principle.

Find the derivatives of sqrt((1-sin2x)/(1+sin 2x))

Using the definition of derivative find the derivative of sqrt(sin x)

CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find from definition the derivatives of (1)/(f(x))

    Text Solution

    |

  2. Find from definition the derivatives of 3sqrt(cos x)

    Text Solution

    |

  3. Find the derivatives of e^sqrt(cot x)

    Text Solution

    |

  4. Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when...

    Text Solution

    |

  5. A function f (x) is defined as follows : f (x) = 3 + 2x , when -(...

    Text Solution

    |

  6. If f(x)=|x-2|+1 , evaluate lim(xto2+)(f(x)-f(2))/(x-2) and lim(xt...

    Text Solution

    |

  7. The function f satisfies the equation f(x+y) = f (x) f (y) for all ...

    Text Solution

    |

  8. Differentiate the following functions with respect to x : 2x^(a)-...

    Text Solution

    |

  9. Differentiate the following functions with respect to x : 2x^(4)-(...

    Text Solution

    |

  10. Differentiate the following functions with respect to x : (x^(3)-4x...

    Text Solution

    |

  11. Differentiate the following functions with respect to x : 2log(3)...

    Text Solution

    |

  12. Differentiate the following functions with respect to x : 3secx-4co...

    Text Solution

    |

  13. Differentiate the following functions with respect to x : sin2(x)/...

    Text Solution

    |

  14. Find (dy)/(dx) , when y=2^(x)x^(5)

    Text Solution

    |

  15. Find (dy)/(dx) , when y = sqrt(x) log x* 10^(x)

    Text Solution

    |

  16. Find (dy)/(dx) y= sqrt(x) sec x tan x

    Text Solution

    |

  17. If f(x+y) = f(x) * f(y) for all real x and y and f(5)=2,f'(0) = 3 ,...

    Text Solution

    |

  18. If f (a) = 2 , f'(a) = 1, g (a) = -1 and g'(a) = 2 , show tha...

    Text Solution

    |

  19. Find the derivatives of the following functions w.r.t. x : y = (si...

    Text Solution

    |

  20. Find the derivatives of the following functions w.r.t.x : y=(x^...

    Text Solution

    |