10 Answered Questions for the topic Critical Point

02/13/17

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

02/09/17

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

02/08/17

Extending Differentiation

Find the coordinates of the stationary (critical) point of the curve with equation y=1/(x2+4) 

12/28/16

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

10/10/16

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

11/10/15

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

04/05/15

find all critical points

f(x)=10((x-1)^2)e^-x

11/18/14

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).

10/29/13

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

12/29/12

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

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