Q. 8

# Show that the fun

Given: f(x) = 4x3 − 18x2 + 27x − 7.

Differentiating both sides w.r.t x, we get,

f’(x) = 12 x2 − 36x + 27

f’(x) = 3(4x2 − 12x + 9)

f’(x) = 3(2x − 3)2

f’(x) is positive for all the real values of x.

f(x) is increasing on R.

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