Home
Class 12
MATHS
If x=ct, y = c/t, find dy/dx at t = 2...

If `x=ct, y = c/t`, find `dy/dx at t = 2`

A

`1/4`

B

4

C

`-1/4`

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

If x = sin t, y = cos t, find dy/dx

Find dy/dx if y^2 = x

Find dy/dx if y=2x^7

If x= 3 sin t - sin 3t, y = 3 cos t - cos 3t, find d^2 y/dx^2 at t= pi/3

If x=(1-t^2)/(1+t^2) , y=(2t)/(1+t^2) , find (dy)/(dx) at x=2.

Find dy/dx ,if x+2y = cosx

if x = t + (1)/(t), y = t - 1/t find dy/dx

Find dy/dx , if x and y are connected parametrically by the equations, given below without eliminating the parameter. x = e^t cos t, y = e^t sin t . at t = pi/2

If x = g(t) and y = f(t) , find (d^2y)/(dx^2) as a function of t.

Find dy/dx if y^2=10x

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If f(x)=logx(logx) then the value of f'(e) is

    Text Solution

    |

  2. If f(x)=log(x){ln(x)} then f'(x) at x=e, is

    Text Solution

    |

  3. If x=ct, y = c/t, find dy/dx at t = 2

    Text Solution

    |

  4. Let f(x) = {:{(ax+3,xle2),(a^2x-1,x>2):}. Then the value of 'a' for wh...

    Text Solution

    |

  5. Let R be the set of all real numbers. Let f: R rarr R be a function s...

    Text Solution

    |

  6. Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(7/2), then the value of 'b' is

    Text Solution

    |

  7. The funtion f(x) = {:{(2x^2-1, if 1 le x le 4),(151-30x, if 4 < x le 5...

    Text Solution

    |

  8. Let f(x) be a differentiable function and f'(4) = 5, then: underset(xr...

    Text Solution

    |

  9. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

    Text Solution

    |

  10. If y=(1+x)(1+x^2)(1+x^4), then dy/dx at x = 1 is

    Text Solution

    |

  11. The value of d/dx{tan^-1(cosx)} for x= 30 is equal to

    Text Solution

    |

  12. If f(x) = {:{((x^2-(a+2)x+a)/(x-2), x ne2),(2,x=2):} is continuous at ...

    Text Solution

    |

  13. Let g(x) = ((x-1)^3)/(log(x-1)) Find g(5).

    Text Solution

    |

  14. Let y be an implict function of x defined by x^(2x) - 2x^x cot y -1 =0...

    Text Solution

    |

  15. Let f: (-1,1) rarr R be a differentiable function with f(0) = -1 and ...

    Text Solution

    |

  16. If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...

    Text Solution

    |

  17. If f: R rarr R is a function defined by: f(x) = [x] cos((2x-1)/2)pi, ...

    Text Solution

    |

  18. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is a. differ...

    Text Solution

    |

  19. If y = sec(tan^-1x), then dy/dx at x =1 is equal to

    Text Solution

    |

  20. If g is te inverse of a function f and f'(x) = 1/(1+x^5) then g'(x) is...

    Text Solution

    |