Solve and give the correct answer with using second derivative of the function as follows displaystyle f{{left({x}right)}}={left({x}+{9}right)}^{2}

ossidianaZ

ossidianaZ

Answered question

2021-02-12

Solve and give the correct answer with using second derivative of the function as follows f(x)=(x+9)2

Answer & Explanation

Clara Reese

Clara Reese

Skilled2021-02-13Added 120 answers

The given function is f(x)is(x+9)2.
Obtain the first and second derivative of the function as follows.
f(x)=(x+9)2
f(x)=2(x+9)
f(x)=2
Find the critical points as follows
f(x)=0
2(x+9)=0
2(x+9)2=02
x=9
Thus, the function has critical point at x=9
Since the second derivative is a constant function and is greater than zero for all values of x, the function has only local minima.
Thus, the function has local minima or minimum at (9,0).

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