Home
Class 12
MATHS
Let y=f(x) be a real valued function sat...

Let y=f(x) be a real valued function satisfying `xdy/dx = x^2 + y-2`, f(1)=1 then f(3) equal

A

`f (x)` is minimum at `x =1`

B

`f (x)` is maximum at `x=1`

C

`f (3)=5`

D

`f(2)=3`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEM)|7 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a real valued function satisfying the relation f(x/y) = f(x) - f(y) and lim_(x rarr 0) f(1+x)/x = 3. The area bounded by the curve y = f(x), y-axis and the line y = 3 is equal to

Let f be a real valued function satisfying f (ab) = f (a) + f(b), f' (1) = - 3 find the area bounded by y = f (x) and the coordinate axes.

Let f be a real valued function defined by f(x)=x^2+1. Find f'(2) .

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f'(1).

Let f be a real valued function satisfying f(x+y)=f(x)+f(y) for all x, y in R and f(1)=2 . Then sum_(k=1)^(n)f(k)=

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . If sum_(k=1)^(n)f(a+k)=16(2^(n)-1) , then a=

Let f be a real valued function satisfying 2f(xy) = {f(x)}^(y) + {f(y)}^(x), AA x, y in R and f(1) = 2, then find underset(K = 1)overset(2008)sum f(K)

Let f be a function satisfying f''(x)=x^(-(3)/(2)) , f'(4)=2 and f(0)=0 . Then f(784) equals……..

If f(x) is a real valued functions satisfying f(x+y) = f(x) +f(y) -yx -1 for all x, y in R such that f(1)=1 then the number of solutions of f(n) = n,n in N , is

Home
Profile