Home
Class 11
MATHS
If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqr...

If `y=sqrt((a-x)(x-b))-` `(a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e n d(dy)/(dx) is equal to' `

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

y=tan^(- 1)sqrt((1-x)/(1+x))f i n d(dy)/(dx)

If y=e^(sqrt(x))+e^(-sqrt(x))," then "(dy)/(dx) is equal to

If y=sqrt((1-x)/(1+x) then (dy)/(dx) equals

if y=sqrt(x) + 1/sqrt(x) , then (dy)/(dx) at x=1 is equal to

If y=cos^(-1)((sqrt(x)-1)/(sqrt(x)+1))+cosec^(-1)((sqrt(x)+1)/(sqrt(x)-1)) , then (dy)/(dx) is equal to

If y=sin[2t a n^(-1){sqrt((1-x)/(1+x))}],"f i n d"(dy)/(dx)

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) ,then (dy)/(dx) is equal to (a) (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c) (a y)/(xsqrt(a^2-x^2)) (d) none of these

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),t h e n(dy)/(dx)i se q u a lto (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (a y)/(xsqrt(a^2-x^2)) (d) none of these

If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/((sqrt(a-x)+sqrt(x-b)) ,then (dy)/(dx) wherever it is defined is (a) (x+(a+b))/(sqrt((a-x)(x-b))) (b) (2x-a-b)/(2sqrt(a-x)sqrt(x-b)) (c) -((a+b))/(2sqrt((a-x)(x-b))) (d) (2x+(a+b))/(2sqrt((a-x)(x-b)))

If y= tan ^-1 ((x)/sqrt(a^2-x^2)) then dy/dx =?

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find (dy)/(dx) for y=sin^(-1)(cosx), where x in (0,2pi)dot

    Text Solution

    |

  2. The derivative of an even function is always an odd function.

    Text Solution

    |

  3. If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e n d(dy)/...

    Text Solution

    |

  4. Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) a...

    Text Solution

    |

  5. Find (dy)/(dx) for y=tan^(-1){(1-cosx)/(sinx)},-piltxltpi.

    Text Solution

    |

  6. If x=y+sin^2x then at x=0 ,(dy)/dx=

    Text Solution

    |

  7. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x.

    Text Solution

    |

  8. If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= for x>20

    Text Solution

    |

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

    Text Solution

    |

  10. If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a)(sinx)^(tanx)(1+sec^2xlogsi...

    Text Solution

    |

  11. If y=sin^(-1)(sqrt(1-x^2]) and 0 < x < 1, then find (dy)/(dx)

    Text Solution

    |

  12. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

    Text Solution

    |

  13. If y=cos^(-1)x ,find (d^2y)/(dx^2).

    Text Solution

    |

  14. If y^2=P(x), then 2d/dx(y^3(d^2y/dx^2))

    Text Solution

    |

  15. If g(x)=|(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(...

    Text Solution

    |

  16. If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of li...

    Text Solution

    |

  17. If x=a(cost+tsint) and y=a(sint-tcost), find (d^2y)/(dx^2)

    Text Solution

    |

  18. Let y=(2^((log)2 1/4x)-3^((log)(27) (x^2+1)^3-2x))/(7^(4(log)(49)x)-...

    Text Solution

    |

  19. (lim)(hvec0)((e+h)^(1n(e+h))-e)/hi s

    Text Solution

    |

  20. If (x-a)^2+(y-b)^2=c^2, for some c >0, prove that([1+((dy)/(dx))^2]^(...

    Text Solution

    |