10 Answered Questions for the topic Critical Point
Consider the critical points of f(x). What is the greatest value of the x-coordinates of the critical points? Give your answer correct to 2 decimal places. f
Consider the critical points of f(x). What is the greatest value of the x-coordinates of the critical points? Give your answer correct to 2 decimal places. f\left(x\right)=f(x)=14x^4-2x^2+5
Extending Differentiation (Question)
A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary point and, by... more
Find the coordinates of the stationary (critical) point of the curve with equation y=1/(x2+4)
Finding critical points and limits.
Let f(x,y) = 1/(x2 - y) (a) Determine the critical points of f.(b) Does the limit of the function f at the point (0, 0) exist? Justify your answer
Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?
It says to eliminate one variable so I eliminated x. A=xy L2=x2+y2 x=(L2-y2)1/2 A=y*(L2-y2)1/2 =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3 I don't know where to go... more
Calculus Homework (derivatives)
I was able to answer a I just can't figure out how to do b or c. Let f(x)= x3e-9x a) Find the derivative of f ' (x) I got this answer: -9e-9xx3+3e-9xx2 b) Find the critical... more
Critical and Inflection Point help
Let g(x) = e^(−6x^2) Find and classify all critical points of g(x). Find all inflection points of g(x).
Please help me with a few questions I don't understand from my homework. Thank you!
1. If a>0, show that the function f(x)=(x^5)+ax-1 has precisely one real root. 2. Find the critical points and apply the second derivative test (or state that it fails). (a)... more
f(x)=(x+2)^3 -4 The point (-2,-4) is which of the following?
How do you solve this problem? Which is the right answer and why? a. An absolute maximum b. An absolute minimum c. A critical point but not an extremum d. Not a critical point e. none of these