Consider the function $f(x)=a x(1-x)$ for $a0$ .For what value of x on the region $0 \leq x \leq 1$ does f have a local maximum? If there is more than one value, give the smallest one.

Question

Consider the function $f(x)=a x(1-x)$ for $a>0$ .For what value of x on the region $0 \leq x \leq 1$ does f have a local maximum? If there is more than one value, give the smallest one.

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The Answer of Consider the function $f(x)=a x(1-x)$ for $a>0$ .For what value of x on the region $0 \leq x \leq 1$ does f have a local maximum? If there is more than one value, give the smallest one.

Consider the Function f(x)=ax(1−x)f(x)=a x(1-x)f(x)=ax(1−x) For a>0a>0a>0 For What Value of X on the Region

Consider the Function $f(x)=a x(1-x)$ For $a>0$ For What Value of X on the Region