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Prove that the following function is increasing on r?
i. f(x) = 3x5 + 40x3 + 240x
ii. f(x) = 4x3 – 18x2 + 27x – 27
(i) we have
f(x) = 3x5 + 40x3 + 240x
Now,
xR
Hence, f(x) is an increasing function for all x
(ii) we have
f(x) = 4x3 – 18x2 + 27x – 27
Now,
x R
Hence, f(x) is an increasing fuction for all x