defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Calculus Applications of Derivatives
If \( f \) and \( g \) are differentiable functions in \( \left [ 0, 1 \right ] \) satisfying \( f(0)=2=g(1), g(0)=0 \) and \( f(1)=6 \), then for some \( c \in [0, 1] \)
1
\( 2f'(c)=g'(c) \)
2
\( 2f'(c)=3g'(c) \)
3
\( f'(c)=g'(c) \)
4
\( f'(c)=2g'(c) \)