Unit 2: Sequences
1 answer:
You might be interested in
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function
Generally the differentiation of function f(x) is mathematically solved as
Therefore
Generally critical point is given as
Generally the maximum and minimum x value for critical point is mathematically solved as
Where
Maximum value of x
Minimum value of x
Therefore interval of increase is mathematically given by
Therefore interval of decrease is mathematically given by
Generally the second differentiation of function f(x) is mathematically solved as
Generally the point of inflection is mathematically solved as
Therefore inflection points is given as
a)Generally the concave upward interval X is mathematically given as
b)Generally the concave downward interval Y is mathematically given as
Use the sum of cubes factoring rule
to transform the left hand side into the right hand side.
Throughout the entire process, the right hand side stayed the same.
On the last step, I used the pythagorean identity.