Question
Mathematics Question on Differential Equations
If f and g are differentiable functions in (0, 1) satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c ∈]0, 1[
A
2f' (c) = g' (c)
B
2f' (c) = 3g' (c)
C
f' (c) = g' (c)
D
f' (c) = 2g' (c)
Answer
f' (c) = 2g' (c)
Explanation
Solution
The correct answer is(D): f' (c) = 2g' (c)