The following is known about a differentiable function f : f(5)=100 -2

Question

The following is known about a differentiable function

f

:

f(5)=100
-2<=f^(')(x)<=-3 for all xin(0,5)

Find the largest number

x

such that we can make the following statement with absolute certainty:

f(0)>=x

.

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