Is $f (x) = (x + 1) (2 x - 3) (3 x - 2)$ $f(x)=(x+1)(2x-3)(3x-2)$ increasing or decreasing at $x = 0$ $x=0$ ?

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Answer 1 · 2016-06-16T17:19:31

decreasing at $x = 0$ $x=0$

$f (x)$ $f(x)$ = $6 x^{3} - 7 x^{2} - 7 x + 6$ $6x^3-7x^2-7x+6$

to see $f (x)$ $f(x)$ is increasing or decreasing at $x = 0$ $x=0$

just need to focus on $f'(0)$

so find $f'(x)=18x^2-14x-7$

$f'(0)=-7<0$

so it is decreasing at $x=0$

Is f(x)=(x+1)(2x-3)(3x-2)f(x)=(x+1)(2x−3)(3x−2)f(x)=(x+1)(2x-3)(3x-2) increasing or decreasing at x=0x=0x=0?