Grade 11Differential Calculus
if f(x)=cos-1[1-(log x)2]/[1+(log x)2] then the value of f’(e)= - 1
- 1/e
- 2/e
- 2/e2
if f(x)=cos-1[1-(log x)2]/[1+(log x)2] then the value of f’(e)=
- 1
- 1/e
- 2/e
- 2/e2
1 Answer
Arun
Dear student
let log x = tan theta
hence f(x) = cos^-1 (cos 2 theta) = 2 theta = 2 tan^-1 (logx)
hence f’(x) = 2/x(1 + (logx)^2)
f’(e) = 2/ e(2) = 1/e
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