Home
Class 12
MATHS
Consider the curve y=e^(2x) What is th...

Consider the curve `y=e^(2x)`
What is the slope of the tangent to the curve at (0,1)`

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`y=e^(2x)`
`(dy)/(dx)=2e^(2x)`
`(dy)/(dx)|_(x,y)=(0,1)=2e^(0)=2`
Promotional Banner

Topper's Solved these Questions

  • 3-D GEOMETRY

    NDA PREVIOUS YEARS|Exercise MCQ|147 Videos

  • BINOMIAL THEROREM, MATHEMATICAL INDUCTION

    NDA PREVIOUS YEARS|Exercise MQS|65 Videos

Similar Questions

Explore conceptually related problems

What is the slope of the tangent to the curve y=sin^(1)(sin^(2)x)

The slope of the tangent to the curve y=6+x-x^(2) at (2,4) is

Let (a,b) and (lambda,u) be two points on the curve y=f(x). If the slope of the tangent to the curve at (x,y) be?

Find the slope of the tangent to the curve y=3x^(2)+1 at x=1

Equation of the tangent to the curve y=e^(x) at (0,1) is

The slope of tangent to the curve y=x^(2)+3x+4 at (1,1) is

Slope of the tangent to the curve y=x^(2)+3 at x=2 is

The slope of the tangent line to the curve y=x^3-2x+1 at x=1 is

NDA PREVIOUS YEARS-APPLICATION OF DERIVATIVES -Example
  1. The minimum value of the function F(x)=|x-4| exists at

    Text Solution

    |

  2. What is the slope of the tangent to the curve y=sin^(1)(sin^(2)x)

    Text Solution

    |

  3. Consider the curve y=e^(2x) What is the slope of the tangent to the ...

    Text Solution

    |

  4. The tangent to the curve y=e^(2x) at the point (0,1) meets X-axis at

    Text Solution

    |

  5. Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the maxim...

    Text Solution

    |

  6. Consider the function f(X)=(x^(2)-x+1)/(x^(2)+x+1) What is the minim...

    Text Solution

    |

  7. A rectangular box is to be made form a sheet of 24 inch length and 9 ...

    Text Solution

    |

  8. A rectangular box is to be made form a sheet of 24 inch length and 9 ...

    Text Solution

    |

  9. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  10. A cylinder is inscribed in a sphere of radius r What is the radius o...

    Text Solution

    |

  11. Consider the following statements 1. y=(e^(x)+e^(-x))/(2) is an incr...

    Text Solution

    |

  12. Consider the function f(X)=(x^(2)-1)/(x^(2)+1) where x in R At what ...

    Text Solution

    |

  13. What is the minimum value of f(X)?

    Text Solution

    |

  14. Consider the function f(x)=0.75x^(4)-x^(3)-9x^(2)+7 What is the max...

    Text Solution

    |

  15. Consider the following value of the function ? 1 The functin attains...

    Text Solution

    |

  16. Consider the parametric equation

    Text Solution

    |

  17. What is (dy)/(dx) equal to ?

    Text Solution

    |

  18. What is (d^(2)y)/(dx^(2)) equal to ?

    Text Solution

    |

  19. The function f(x)=(x^(2))/(e^(x)) monotonically increasing if

    Text Solution

    |

  20. Consider the following statements 1 f(x)=In x is an increasing funci...

    Text Solution

    |