Home
Class 12
MATHS
The rate of change of the function y = ...

The rate of change of the function y = f(x) w.r.t. X at the point x is-

A

`(1)/(2)f'(x)`

B

`2f'(x)`

C

`(f'(x))/(f(x))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE|5 Videos

  • SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|19 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

Similar Questions

Explore conceptually related problems

Find the average rate of change of the function y = f(x) = x^(2) between x = 2 and x = 5, find its instantaneous rate of change at x = 2.

Find out at which points on the curve y=f(x)=3x^(5)-5x^(3)+5x-7 , the rate of change of the function f(x) is minimal . What is the value of the rate of change ?

Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such that |f(x)-f(y)|<=|x-y|^3 . Then f(x) is a constant function. Statement 2: If the derivative of the function w.r.t. x is zero, then function is constant.

If y = (1)/(sqrt(x + 1)) , then the rate measure of y w.r.t. x at the point x = 3 is -

Integrate each of the following functions w.r.t . X : x^(2/3)

Find the derivatives of the following functions w.r.t. x : y = (sin x )/(log x )

The values of x, at which the first derivative of the function (x+(1)/(x)) w.r.t. x is (3)/(4) , are -

Integrate each of the following functions w.r.t . X : (x - 2/x)^(3)

Integrate each of the following functions w.r.t . X: (x^(3) - 4x^(2) + 5x - 1 )/((x-1)^(2))

Find the derivatives of each of the following functions w.r.t. x: root(3)(tan(e^(x^(2))))

CHHAYA PUBLICATION-SIGNIFICANCE OF DERIVATIVE AS RATE OF CHANGE-SAMPLE QUESTIONS FOR COMPETITVE EXAMINATION
  1. The rate of change of the function y = f(x) w.r.t. X at the point x...

    Text Solution

    |

  2. Find the points on the curve y = x^(2) + (1)/(x^(2)) at which (dy)/(dx...

    Text Solution

    |

  3. Find the points on the curve y = 2x^(3) - 15x^(2) + 24x - 10 at which...

    Text Solution

    |

  4. Find the increment and differential of the function, f(x) = 2x^(2) - 3...

    Text Solution

    |

  5. The length of a side of a cube is 10 cm , if an error of 0.05 cm is ma...

    Text Solution

    |

  6. Find the increment Deltay of y corresponding to the increment Deltax o...

    Text Solution

    |

  7. The slope of the tangent to the curve represented by x = t^(2) + 3t - ...

    Text Solution

    |

  8. A spherical balloon is expanding. If the redius is increasing at the ...

    Text Solution

    |

  9. A 5(1)/(2)ft long man walks away from the foot of a 12(1)/(2)ft high l...

    Text Solution

    |

  10. The average rate of change of the function y = 16 - x^(2) between x = ...

    Text Solution

    |

  11. The distance x of a particle from a fixed point at time t is given by,...

    Text Solution

    |

  12. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  13. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  14. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  15. ABC is a trangle whose sides are a units, b units and c units respecti...

    Text Solution

    |

  16. In triangle ABC, a,b remain constant but the base angles A and B very,...

    Text Solution

    |

  17. The radius of sphere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  18. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  19. The radius of shpere is found to be 20 cm with a possible error of 0.0...

    Text Solution

    |

  20. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |

  21. Each question in this section has four choices A,B,C,and D out of whi...

    Text Solution

    |