Home
Class 12
MATHS
The instantaneous rate of change at t=1 ...

The instantaneous rate of change at `t=1` for the function `f(t)=te^(-1)+9` is

A

`-1`

B

`9`

C

`0`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C

Given `f(t)=te^(-t)+9`
`:.f'(t)=-te^(-t)+e^(-t)`
`:.f'(1)=(-1)/e+1/e=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MISCELLANEOUS PROBLEMS|80 Videos
  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos
  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos
  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

Similar Questions

Explore conceptually related problems

The function f (t) = tan t -t :

A body of mass m , accelerates uniformly from rest to V_(1) in time t_(1) . The instantaneous power delivered to the body as a function of time t is.

Let f(x)=x^(2)-4x+7 1. Find the instantaneous rate of change of f at x = 3. 2. Find the average rate of change of f with respect to x between x = 3 and 5.

Volume of cone with semi vertical angle tan^(-1)(1/3) is increasing at a rate of 9picm^(3)//sec when radius of cone is 1cm .The instantaneous rate of change of height at this time is : (in cm/sec)

Differentiate the function f(t)=sqrt(t)(1-t)

find the derivative of the function g(t)=((t-2)/(2t+1))^(9)

Basic Mathematics |Introduction|Calculus |Function |Differentiation|Average Rate Of Change |Instantaneous Rate Of Change |Theorems Of Differentiation|Practice Exercise |Summary

The number of critical points of the function f(x)=int_(0)^(x)e^(t)(t-1)(t-2)(t-3)dt

Investigate for the maxima and minima of the function _(x)f(x)=int_(1)^(x)[2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)]dt

The instantaneous velocity of a particle moving in a straight line is given as a function of time by: v=v_0 (1-((t)/(t_0))^(n)) where t_0 is a constant and n is a positive integer . The average velocity of the particle between t=0 and t=t_0 is (3v_0)/(4 ) .Then , the value of n is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DERIVATIVES-MHT CET CORNER
  1. The instantaneous rate of change at t=1 for the function f(t)=te^(-1)+...

    Text Solution

    |

  2. If the Rolle's theorem for f(x)=e^(x)(sin x-cosx) is verified on [(pi)...

    Text Solution

    |

  3. The approximate value of f(x)=x^(3)+5x^(2)-7x+9 at x=1.1 is

    Text Solution

    |

  4. एक कण वक्र 6y= x^3+ 2 के अनुगत गति कर रहा है वक्र पर उन बिंदुओं को ज...

    Text Solution

    |

  5. All points on the curve y^(2)=4a(x+a" sin"(x)/(a)) at which the tangen...

    Text Solution

    |

  6. The length of normal at any point to the curve, y=c cosh(x/c) is

    Text Solution

    |

  7. The height of right circular cylinder of maximum volume in a sphere of...

    Text Solution

    |

  8. x,के सभी वास्तविक मानों के लिए (1-x+x^2)/(1+x+x^2) का न्यूनतम मान है ...

    Text Solution

    |

  9. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  10. A particle moves along a straight line according to the law s=16-2t+3t...

    Text Solution

    |

  11. The equation of the tangent at (2,3) on the curve y^2=a x^3+b is y=4x-...

    Text Solution

    |

  12. The equation of motion of a particle moving along a straight line is s...

    Text Solution

    |

  13. The equation of the tangent to the curve y=4xe^(x) at (-1,(-4)/e) is

    Text Solution

    |

  14. The abscissa of the points, where the tangent to curve y=x^(3)-3x^(2)-...

    Text Solution

    |

  15. The point of the curve y^(2)=2(x-3) at which the normal is parallel to...

    Text Solution

    |

  16. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  17. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

    Text Solution

    |

  18. If f(x)= kx-sin x is monotonically increasing then

    Text Solution

    |

  19. If a particle moves such that the displacement is proportional to the ...

    Text Solution

    |

  20. f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on t...

    Text Solution

    |

  21. A ladder 10 m long rests against a vertical wall with the lower end on...

    Text Solution

    |