A problem by Abhijit Das

Level pending

f(x)=(〖sin〗^4 (〖cot〗^(-1) (√((x+1)/(x-1))) ) ) is the equation of a curve. find out the co-ordinate value of x when the slope of the curve will be 22. Created by Abhijit Das.


The answer is 45.

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1 solution

Abhijit Das
Jan 9, 2014

we know if we differentiate something we will get it's slope......thus differentiating f(x) we get f'(x)= (x-1)/2. according to the question the slope of the curve will be 22.so... (x-1)/2=22 →x=45 so the answer is 45.

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