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If f and g are differentiable functions in [0, 1] satisfying {

Question

If f and g are differentiable functions in [0, 1] satisfying \displaystyle{f{{\left({0}\right)}}}\text{}=\text{}{2}\text{}={g}

,g(0)""=""0

and

f(1)""=""6

, t h e n f or s o m e

c in ]0,""1[

(1)

2f^'(c)""=g^'(c)

∣ ∣

2f^'(c)""=""3g^'(c)

∣ ∣

f^'(c)""=g^'(c)

∣ ∣

f'(c)""=""2g'(c)

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Question Text	If f and g are differentiable functions in [0, 1] satisfying \displaystyle{f{{\left({0}\right)}}}\text{}=\text{}{2}\text{}={g}
Answer Type	Video solution: 1
Upvotes	150