Question
Question: If for a continuous function f, f(0) = f(1) = 0 & f '(1) = 2 and g(x) = f(e<sup>x</sup>). e<sup>f(x...
If for a continuous function f, f(0) = f(1) = 0 &
f '(1) = 2 and g(x) = f(ex). ef(x) then g'(0) is equal to –
A
1
B
2
C
0
D
None of these
Answer
2
Explanation
Solution
g(x) = f (ex) . ef(x)
g'(x) = f '(ex).ex . ef(x) + f(ex). ef(x).f '(x)
g'(0) = 2