Can someone help me with this math question?
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a) 152.004
b) 154.37202
a) average rate f(x)
= (f(b)-f(a))/(b-a)
where
f(b) = f(2.01) = 5(2.01)^4 -2(2.01)^2 = 73.53184
f(a) = f(1.99) = 5(1.99)^4 -2(1.99)^2 = 70.49176
avg rate of change of f(x)
= (73.53184-70.49176)/(2.01-1.99)
= 3.04008/0.02
= 152.004
b)
f'(x) = 20x^3 - 4x
f'(2.01) = 162.41202 - 8.04
f'(2.01) = 154.37202
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