Home
Class 11
MATHS
If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) ...

If `(sinx)(cosy)=1/2,` then `(d^2y)/(dx^2)` at `(pi/4,pi/4)` is (a) `-4` (b) `-2` (c) `-6` (d) `0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If ( sin x) (cos y) = 1//2, then d^(2)y//dx^(2) at (pi//4, pi//4) is

If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2) at t=pi/2 is (a) (pi+4)/2 (b) -(pi+4)/2 (c) -2 (d) none of these

If y=tan^-1(secx+tanx) , find (d^2y)/(dx^2) at x=pi/4 .

If y=cos^(-1)(cosx) ,then (dy)/(dx) at x= (5pi)/4 is equal to (a)1 (b)-1 (c)0 (d)4

IF y=cos^2x then the value of [(d^2y)/(dx^2)]_(x=pi/4) is-

If y=(log)_(sinx)(tanx),t h e n(((dy)/(dx)))_(pi/4)"is equal to" (a) 4/(log2) (b) -4log2 (c) (-4)/(log2) (d) none of these

Find (d^2y)/(dx^2) when: sinx+cosy=1

If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a) cos(pi/4) (b) sin(pi/2) (c) sin(pi/6) (d) cos(pi/3)

If x in (pi,(3pi)/2), then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is always equal to (a) 1 (b) 2 (c) -2 (d) none of these

If x = 3 tant and y = 3 sec t, then the value of (d^2y)/(dx^2)" at" t=pi/4 is

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let f: R->R satisfying |f(x)|lt=x^2,AAx in R be differentiable at x...

    Text Solution

    |

  2. If f(x)=sin^(-1)cosx , then the value of f(10)+f^(prime)(10) is (a)11-...

    Text Solution

    |

  3. If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is (a) -4 (b) -...

    Text Solution

    |

  4. Suppose p(x) = a0 + a1x + a2x^2 +…+ anx^n. If |p(x)| le |e^(x-1) - 1| ...

    Text Solution

    |

  5. Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)...

    Text Solution

    |

  6. A function f satisfies the condition f(x)=f^(prime)(x)+f''(x)+f'''(x)....

    Text Solution

    |

  7. Let f(x y)=f(x)f(y)AAx , y in R and f is differentiable at x=1 such...

    Text Solution

    |

  8. Let f(x) be a polynomial of degree 3 such that f(3)=1,f^(prime)(3)=-1,...

    Text Solution

    |

  9. Find (dy)/(dx) for the functions: y=x^3e^xsinx

    Text Solution

    |

  10. d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b...

    Text Solution

    |

  11. If y=tan^(-1)(1/(1+x+x^2))+tan^(-1)(1/(x^2+3x+3))+tan^(-1)(1/(x^2+5x+7...

    Text Solution

    |

  12. Let g(x) be the inverse of an invertible function f(x) which is diff...

    Text Solution

    |

  13. If sqrt(1-x^6)+sqrt(1-y^6) = a(x^3-y^3) then prove that (dy)/(dx)= x^2...

    Text Solution

    |

  14. Let f: RrarrR be such that f (1) = 3 and f' (1) = 6 Then, lim(xrarr0)(...

    Text Solution

    |

  15. if cos y=x cos (a+y), (a!= 0) , then show that dy/dx= cos ^2(a+y)/sin ...

    Text Solution

    |

  16. Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...

    Text Solution

    |

  17. Find (dy)/(dx) for y=sin^(-1)(cosx)

    Text Solution

    |

  18. True or False -The derivative of an even function is always an odd fun...

    Text Solution

    |

  19. If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)) then (dy)/(dx)...

    Text Solution

    |

  20. Let F(x)=f(x)g(x)h(x) for all real x, where f(x),g(x), and h(x) are di...

    Text Solution

    |