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...
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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...
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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...
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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)...
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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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