Home
Class 11
MATHS
Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x...

Find `(dy)/(dx)` if `y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if, tan^(-1)(x^2+y^2)=a

(1+x^(2))tan^(-1)x*(dy)/(dx)+2=0

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

Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x)) ,-a < x < a

If y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"^(-1) (2 + 3x)/(3-2x) , then prove that (dy)/(dx)= (5)/(1+25x^(2))

"Find" (dy)/(dx)"if" y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

Find (dy)/(dx) for y=tan^(-1) sqrt(sec^2x/ cosec^2x)

Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2))

Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3)/(1-3x^2))

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

    Text Solution

    |

  2. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  3. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  4. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

    Text Solution

    |

  5. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...

    Text Solution

    |

  6. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

    Text Solution

    |

  7. let f(x)=2+cosx for all real x Statement 1: For each real t, there ex...

    Text Solution

    |

  8. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  9. Match the following: List - I, List - II Let y(x)=cos(3cos^(-1)x) ...

    Text Solution

    |

  10. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  11. Differentiate the following functions with respect to x from first...

    Text Solution

    |

  12. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  13. If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...

    Text Solution

    |

  14. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

    Text Solution

    |

  15. Evaluate (lim)(hvec0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h

    Text Solution

    |

  16. If x^2+y^2=1,t h e n (a)y y^('')-2(y^(prime))^2+1=0 (b)yy^('')+(...

    Text Solution

    |

  17. Using the first principle, prove that d/(dx)(1/(f(x)))=(-f^(prime)(x))...

    Text Solution

    |

  18. If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |

  19. Find the derivative of sqrt(4-x) w.r.t. x using the first principle.

    Text Solution

    |

  20. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

    Text Solution

    |