Find the interval in which the function $f(x)=x^2-4x+6$ is strictly increasing and strictly decreasing.

Find the interval in which the function f(x)=x²-4x+6 is strictly increasing and strictly decreasing.

Question 31 of 35

f(x)=x^2-4x+6

Puducherry TnboardTamil Nadu HSC First Year (DGE) Commerce Board 2024Subjective· 3mImportance★★★★★

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With $f'(x)=2x-4$ , the function decreases on $(-\infty,2)$ and increases on $(2,\infty)$ .

Differentiate. $f(x)=x^{2}-4x+6\Rightarrow f'(x)=2x-4=2(x-2).$

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