What is the factored form of b3 − 1,000?
2 answers:
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Answer:
Option d is correct.
Step-by-step explanation:
The point of inflection of a function y = f(x) at a pointy c is given by f''(c) = 0.
Now, the given function is
Differentiating with respect to x on both sides we get,
Again, differentiating with respect to x on both sides we get,
So, the condition for point of inflection at point c is
k''(c) = 0 = - sin c + 2 sin c cos c
⇒ sin c(2cos c - 1) = 0
⇒ sin c = 0 or
⇒ c = 0 or
Therefore, option d is correct. (Answer)