Home
Class 12
MATHS
Find the point at which the tangent to t...

Find the point at which the tangent to the curve `y=(3)/(5)x^(5)-(5)/(3)x^(3)-x` has its slope equal to -3

Text Solution

AI Generated Solution

To find the point at which the tangent to the curve \( y = \frac{3}{5}x^5 - \frac{5}{3}x^3 - x \) has a slope equal to -3, we will follow these steps: ### Step 1: Find the derivative of the function To find the slope of the tangent line, we need to compute the derivative \( \frac{dy}{dx} \). \[ y = \frac{3}{5}x^5 - \frac{5}{3}x^3 - x \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has its slope 2/3 .

Find points at which the tangent to the curve y=x^(3)-3x^(2)-9x+7 is parallel to the x-axis

Find the slope of the tangent to the curve y=3x^4-4x at x = 4 .

Find the slope of the tangent to the curve y = x^3- x at x = 2 .

Find the equation of tangent to curve y=3x^(2) +4x +5 at (0,5) .

Find the slope of tangent of the curve y=x^(2) at point ((1)/(3),(1)/(9))

Let l be the line through (0,0) an tangent to the curve y = x^(3)+x+16. Then the slope of l equal to :

Find the equation of tangent to the curve y= x^(3)-x , at the point at which slope of tangent is equal to zero.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the points where the curve cuts the x-axis.

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-TRY YOURSELF
  1. Find the slope of tangent to curve y=x+2log x at x=1.

    Text Solution

    |

  2. Distance between the points on the curve 4x^2 + 9y^2 = 1, where tangen...

    Text Solution

    |

  3. Find the point at which the tangent to the curve y=(3)/(5)x^(5)-(5)/(3...

    Text Solution

    |

  4. Find pints on the curve (x^2)/9+(y^2)/(16)=1 at which the tangents ...

    Text Solution

    |

  5. Find the equation of a line having slope is equal to 2,which touching ...

    Text Solution

    |

  6. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3) at ...

    Text Solution

    |

  7. Find the equations of the tangent and the normal to the curve x^(2/...

    Text Solution

    |

  8. Find the equation of tangent to the curve given by x=2 sin^(3)t ,y=2 ...

    Text Solution

    |

  9. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  10. Prove that the segment of tangent to xy=c^(2) intercepted between the...

    Text Solution

    |

  11. Find the equations of tangent to the curve y=x^(4) which are drawn fro...

    Text Solution

    |

  12. Find the approximate value of sqrt(36.6.)

    Text Solution

    |

  13. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

    Text Solution

    |

  14. Find the approximate value of sin((5pi)/(16)) .

    Text Solution

    |

  15. Find the maximum and minimum value if any , of the function f given by...

    Text Solution

    |

  16. Find the maximum and minimum value if any , of the function f given by...

    Text Solution

    |

  17. Find the points of local maxima and minima of the function f(x)=x^(2)-...

    Text Solution

    |

  18. Find the points of local maxima and local minima of the function f(x...

    Text Solution

    |

  19. Find the maximum , minimum values of following functions ( using graph...

    Text Solution

    |

  20. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

    Text Solution

    |