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				   if f(x) = { 3-x2 , -1[_x[_2
{ 2x-4 ,  2[_x[_4 then find fof(x)and discuss the continuty and differentiability


4 years ago

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										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$$LHL\neq RHL$f(x) is not continuous at x = 2Similarly you can find Left Hand Derivetive & Right Hand Derivative$LHD=\lim_{x\rightarrow 2^{-}}\frac{f(x+2)-f(2)}{x}$$RHD=\lim_{x\rightarrow 2^{+}}\frac{f(x+2)-f(2)}{x}$f(x) is not differentiable at x = 2Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

one year ago

I find function very tough,the graph n those equation..wat should I do so that I find it easy n solve my problems

Buy Cengage’s Playing with Graphs, after reading it you will feel comfortable with this part.

 Anoopam Mishra 8 months ago
How to differentiate y=(x+cosx)/(tanx) using first principle? please give me the complete solution.

Write it down in the format of first principle and the apply thye expansion formula to get the answer In case of doubts revert back at askiitians

 Sourabh Singh one month ago
i want video for strictly and strictly decreasing function

 Anoopam Mishra 8 months ago

Cant understand why my answer was disapproved. Search for fNp69step6Q and 28uAm2MG0Mo` on Google. T

 Anoopam Mishra 8 months ago

You’re welcome! After watching the videos please tell me if you liked them.

 Anoopam Mishra 8 months ago
How many distinct values of 𝑥 satisfy the equation sin(𝑥) = 𝑥/2, where 𝑥 is in radians? (A) 1 (B) 2 (C) 3 (D) 4 or more

plot the graph of sin(x) and x/2. From just observing it we can see that it intersects at 3 points and hence the answer is 3.

 Riddhish Bhalodia one month ago
How to find root of 8+3i in complex numbers???????????????????????

Let x+iy=root of 8+3i (x+iy) 2 =8+3i x 2 -y 2 +2xyi=8+3i On comparing, x2-y2=8 and 2xy=3 ie x=3/(2y) 9/(4y 2 ) – y 2 =8 Solve and get the values of x and y z=x+iy

 Amogh Dasture 3 months ago
tantheta=b/athen prove that acos2theta+bsin2theta=a

ok I hope you are familier with the following two identities now its just the question of using thes two and substituting in the equation and you will get the answer very easily

 Riddhish Bhalodia 3 months ago
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