F. Pleae help with a step by step guide. Thank you.
Let f(x)=x^3 −12x + 5
(a) What is the y-intercept?
(b) Find all critical points for the first derivative.
(c) Use the second derivative test to determine whether these critical points are minima, maxima, or points of inflection.
(d) Use the second derivative to find any points of inflection.
(e) Sketch the graph, showing and labeling all extrema, points of inflection, and the y-intercept. You do not need to determine the x-intercepts.
Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered
(a) y-intercept is the point where the graph crosses the y-axis i.e. when x=0
Plugging the value in the given function:
Hence, the y-intercept is 5
(b) A point on a function is said to be a critical point if the value of the derivative at that point is 0
Applying derivative to the function,
A point on the given function is critical point if the value of the derivative is 0.
So,
Plugging the values in the function,
Therefore, the critical points are (2,-11) and (-2,21)
(c)
As per the second derivative test, when a function has critical points at c and f(c)=0
If f ''(c)>0, then there is a local minimum at c
If f ''(c)<0, then there is a local maximum at c
If f ''(c)=0, then there is an inflection point at c
The second derivati...
Q: Help with #8
A: Let's understand the formula for calculation of curvature.For a function, y(x) the curvature is give...
Q: Question: Find the area of the region bounded by y y0, x1, x-4
A: The area of region bounded by the curve y=(x^2+x-1)/((x)^1/2), x=1,x=4,y=0.
Q: could you help me with this problem please
A: Given,
Q: Determine the sum of the following series. (분) T1-1
A: we have to find sum of series .Series is given as:
Q: 3. (4.6) A rectangular flower garden with an area of 30 m2 is surrounded by a grass border 1 m wide ...
A: Given information:A rectangular flower garden with an area of 30 m^2 is surrounded by a grass border...
Q: Explain in your own words how to find the volume using the disk method. Include on example in your ...
A: Suppose that any solid of revolution with disc cross-section.In order to find the volume of these ty...
Q: #28 please
A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...
Q: I need help for this.
A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.
Q: Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following: a) Give the domain of the function ...
A: a) First obtain the singularity for the given function as follows.The denominator of the given fract...