MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

if f(x) = { 3-x2 , -1[_x[_2


            { 2x-4 ,  2[_x[_4 then find fof(x)and discuss the continuty and differentiability

3 years ago

Share

Answers : (1)

                                        
Ans:
f(x) = \left \{ 3-x^{2}, -1\leq x< 2 \right \}
f(x) = \left \{ 2x-4, 2\leq x\leq 4 \right \}
Continuity,
Left Hand Limit(LHL) = Right Hand Limit(RHL) = f(2)
LHL = \lim_{x\rightarrow 2^{-}}3-x^{2} = -1
RHL = \lim_{x\rightarrow 2^{+}}2x-4 = 1
LHL\neq RHL
f(x) is not continuous at x = 2
Similarly you can find Left Hand Derivetive & Right Hand Derivative
LHD=\lim_{x\rightarrow 2^{-}}\frac{f(x+2)-f(2)}{x}
RHD=\lim_{x\rightarrow 2^{+}}\frac{f(x+2)-f(2)}{x}
f(x) is not differentiable at x = 2
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty
9 months ago

Post Your Answer

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
See attachment sir please explain this question …...I’ll be very great full
 
 
Ans: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
  img
Jitender Singh 8 months ago
 
 
milind 8 months ago
 
 
milind 8 months ago
please solve this question
 
 
Ans: Hello Student, Please find answer to your question below Your question is not clear. Please reupload the image. The first part of numerator: Is it e raise to power fraction part of...
  img
Jitender Singh 6 months ago
 
no sir it is e raise to power integer part of x part of x
 
milind 6 months ago
​Q . TOTAL NUMBER OF SOLUTIONS OF - 2 X + 3 X + 4 X – 5 X = 0 IS=?
 
 
divide the whole equation with 5^x and you will get ans 1
 
Abhishek Singh 2 months ago
 
according to me it is no solution
 
srikar 4 months ago
 
its 1
 
archi gupta 4 months ago
No. of solution to the equation. [y+[y]]=2cos x where y=[sinx+[sinx+[sinx]]]/3 where [] denotes greatest integer function.
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 8 months ago
prove pythagoras theorem using trigonometry..........................plz explain briefly
 
 
Pythagorean Theorem, The theorem states that: "The square on the hypotenuse of a right triangle is equal to the sum of the squares on the two legs”. This theorem is talking about...
  img
Saurabh Kumar 4 months ago
 
For a right angled triangle, with sides P(perpendicular), B(base) and H(hypotenuse); write the trig. ratios in terms of P, B and H with any of the internal angle of the triangle. Using the...
  img
Ravi 4 months ago
 
Hi Student We know using trigonometry sin = p/h and cos = b/h and using identity sin 2 + cos 2 =1 p 2 /h 2 +b 2 /h 2 =1 p 2 + b 2 = h 2 (Hence proved)
  img
Harsh Patodia 4 months ago
tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 is
 
 
Hello student, Please find the answer to your question below tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 = take tan square common tan 2 20( tan 4 20 – 33 tan 2 20 + 27 ) now you...
  img
Nishant Vora 6 months ago
View all Questions »