Posted by Ashley on Wednesday, November 28, 2012 at 6:50pm.
f(4) = -9
f(0) = 6
so, we want f'(c) = -15/4
f'(x) = -ln2 2^x
-15/4 = -ln2 2^c
15/(4ln2) = 2^c
ln(15/ln16) = c ln2
c = ln(15/(4ln2))/ln2 = 2.4356
which is in the interval [0,4]
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