Home
Class 12
MATHS
Discuss the continuity and differentiabi...

Discuss the continuity and differentiability of following :
(i) `y=((x-a)(x-b))/(sqrt(x-c))`
(ii) `y=sqrt(((x-a)(x-b))/((x-c)(x-d)))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `((x-a)(x-b))/(sqrt(x-c)){1/(x-a)+1/(x-b)-1/(2(x-c))}`
(ii) `1/2sqrt(((x-a)(x-b))/((x-c)(x-d)))cdot[1/(x-a)+1/(x-b)-1/(x-c)-1/(x-d)]`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5i|10 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5j|14 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5g|12 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity and differentiability of f(x)={((x-c)cos(1/(x-c)) ,, x!=c),(0 ,, x=c):}

y=log[sqrt(x-a)+sqrt(x-b)]

Differentiate the following function with respect of x \ :(sqrt(a)+sqrt(x))/(sqrt(a)-sqrt(x))

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Find differentiation of y w.r.t x. (i) y=(sin x)/x , (ii) y=(4x^(3))/e^(x)

Evaluate : sqrt(x^(a-b)) xx sqrt( x^(b-c)) xx sqrt( x^(c-a))

Discuss the continuity and differentiability of f(x)={(x-c)cos(1/(x-c)),\ \ \ x!=c0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=c

Find differentiation of y w.r.t x. (i) y=x^(2)-6x (ii) y=x^(5)+2e^(x) (iii) y=4 ln x +cos x

Differentiate the following with respect to x\ :tan^(-1)\ ((sqrt(1+x)\ \ -\ \ sqrt(1-x))/(sqrt(1+x\ \ )+\ \ sqrt(1-x)))\

Differentiate the following function with respect of x : f(x)=(a x+b)/(c x+d)