Prove that the following function is increasing on r?

i. f(x) = 3x^{5} + 40x^{3} + 240x

ii. f(x) = 4x^{3} – 18x^{2} + 27x – 27

(i) we have

f(x) = 3x^{5} + 40x^{3} + 240x

Now,

xR

Hence, f(x) is an increasing function for all x

(ii) we have

f(x) = 4x^{3} – 18x^{2} + 27x – 27

Now,

x R

Hence, f(x) is an increasing fuction for all x

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