Question
Question: If f (x) = log (log x), then f ' (x) at x = e is equal to –...
If f (x) = log (log x), then f ' (x) at x = e is equal to –
A
e
B
– e
C
e2
D
e–1
Answer
e–1
Explanation
Solution
f ' (x) = logx1× x1
f ' (5) = loge1× e1 = e–1
If f (x) = log (log x), then f ' (x) at x = e is equal to –
e
– e
e2
e–1
e–1
f ' (x) = logx1× x1
f ' (5) = loge1× e1 = e–1