What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)
2 answers:
Answer: C. (1, -3)
Step-by-step explanation:
Given function,
-------(1)
By differentiating the above equation with respect to x,


At the turning point of the function f(x),
f'(x) = 0
⇒ 
⇒ 
⇒ 
⇒ 
By substituting this value in equation (1),
We get,
f(x) = - 3
Hence, the turning point of the function f(x) is (1,-3).
⇒ Option C is correct.
ANSWER
The turning point is

EXPLANATION
The function given to us is

At turning point,

So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,

We equate this to zero to obtain,

We divide through by 3.

We solve for x to get,


We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.



Therefore the turning point is

C is the correct answer.
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