Class 11 Ex 12.1 Limits and Derivatives All Questions Chapter 12 Maths New Syllabus Green Board 11th 

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Problem 17 Short method Cos2x -1=2 cos ^2x - 1-1 = 2cos ^2x -2=2(cos^2x -1) =2(cosx +1)(cos x -1) Hence (cos2x -1)/(cos x -1)=2cos x +2 Hence Lt (X tends to zero) (2cosx +2) =2cos0+2=2*1+2=4 By direct substitution It is a short method .

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Can you please solve this question Using the 1st principle find the derivative of the following function cosec (x^3 +1)

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sir can I do these type of questions by using L hospital rule

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sir, in 23rd number there is a mistake ,, you took 3(x+1) on both L.H.L AND R.H.L ,,, . I think the f(x) of L.H.L will be 2x+3 . THANK YOU SIR ......

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Sir question no. 17 me hum (cos0-1)/(cos0-1) ko cancel kyu nahi kar skte h? Cancel karenge toh answer 1 aajayega

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9:51 xpower n -a power n /x-a

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#@$divide by it vale 5 8 10 respectively

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