Home
Class 12
MATHS
Let u/x a n dv(x) be differentiable func...

Let `u/x a n dv(x)` be differentiable functions such that `(u(x))/(v(x))=7.If(u^(prime)(x))/(v^(prime)(x))=pa n d((u(x))/(v(x)))=q ,t h e n(p+q)/(p-q)` has the value of to 1 (b) 0 (c) 7 (d) `-7`

A

1

B

0

C

7

D

-7

Text Solution

Verified by Experts

`u(x)=7v(x) or u' (x)=7 v'(x) or p=7" (given)"`
`"Again "(u(x))/(v(x))=7or ((u(x))/(v(x)))=0 or q =0`
`"Now, "(p+q)/(p-q)=(7+0)/(7-0)=1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise (Multiple)|22 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise (Comprehension)|23 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.9|14 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|25 Videos

  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7. If (u'(x))/(v'(x))=p and ((u'(x))/(v'(x)))=q, then (p+q)/(p-q) has the value of to (a) 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) are differentiable functions such that (u(x))/(v(x))=7 . If (u '(x))/(v '(x))=p and ((u(x))/(v(x)))^'=q , then (p+q)/(p-q) has the value equal to 1 (b) 0 (c) 7 (d) -7

Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=7.if(u'(x))/(v'(x))=pand((u(x))/(v(x))) '=q," then "(p+q)/(p-q) has the value equal to

If y=u//v," where "u,v," are differentiable functions of x and "vne0," then: "u(dv)/(dx)+v^(2)(dy)/(dx)=

If f(x)=log{(u(x))/(v(x))},u(1)=v(1) and u'(1)=v'(1)=2, then find the value of f'(1) .

If f(x)=(u)/(v) then f'(x)=(1)/(v^(3))

I fx+1/x=2,t h e p r i n c i p a l v a l u e o f sin^(-1)x is

Let the derivative of f(x) be defined as D*f(x)=lim_(h rarr0)(f^(2)(x+h)-f^(2)(x))/(h) where f^(2)(x)=(f(x))^(2) if u=f(x),v=g(x), then the value of D*{u.v} is

CENGAGE-DIFFERENTIATION-Exercise (Single)
  1. " If "y=sqrt((1-x)/(1+x))," then "(1-x^(2))(dy)/(dx) is equal to

    Text Solution

    |

  2. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)), then (dy)/(dx) is e...

    Text Solution

    |

  3. Let u/x a n dv(x) be differentiable functions such that (u(x))/(v(x))=...

    Text Solution

    |

  4. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to x/...

    Text Solution

    |

  5. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , wher...

    Text Solution

    |

  6. If lim(trarrx) (e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^(2))=2 andf(0)=(1)/(...

    Text Solution

    |

  7. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

    Text Solution

    |

  8. If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (sqrt(pi)...

    Text Solution

    |

  9. (d)/(dx)cos^(-1)sqrt(cosx),0ltxlt(pi)/(2) is equal to

    Text Solution

    |

  10. If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...

    Text Solution

    |

  11. If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (n y)/(sqrt(x^2+a^2)) (b...

    Text Solution

    |

  12. if y=log(sinx) tanx then ((dy)/(dx)) (pi/4) is

    Text Solution

    |

  13. d/(dx)[sin^2cot^(- 1)sqrt((1-x)/(1+x))] is

    Text Solution

    |

  14. The differential coefficient of f(loge x) w.r.t. x, where f(x) = loge...

    Text Solution

    |

  15. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

    Text Solution

    |

  16. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  17. A function f, defined for all positive real numbers, satisfies the equ...

    Text Solution

    |

  18. Let f : (-5,5)rarrR be a differentiable function of with f(4) = 1, f'(...

    Text Solution

    |

  19. The function f(x)=e^(x)+x, being differentiable and one- to -one, has ...

    Text Solution

    |

  20. If f(x) = x + tan x and f is the inverse of g, then g'(x) is equal to

    Text Solution

    |