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$f (x) = (x - 8)^{4} (x - 9)^{5}, 0 \leq x \leq 10,$ monotonically decreases in

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8,769

[0,8)

769,-10

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Correct option is B

f(x)=(x−8)4(x−9)5,0≤x≤10 ∴ f′(x)=4(x−8)3(x−9)5+5(x−9)4(x−8)4 =(x−8)3(x−9)4[4(x−9)+5(x−8)] =9(x−8)3(x−9)4x−769Sign scheme of f'(x) is as follows: f′(x)<0 if x∈8,769,i.e., f(x) decreases if x∈8,769.

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f(x)=(x−8)4(x−9)5,0≤x≤10,monotonically decreases in

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$f (x) = (x - 8)^{4} (x - 9)^{5}, 0 \leq x \leq 10,$ monotonically decreases in