Critical point

P(x)= 10 ^- (x+1) / n(x)= -ln (x - 5){ GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

M(x)= - square root x+3 / n(x)= | x | - 4 { GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

K(x)= 4^x - 2 / l(x)= - ^3 square root x+1{ GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

s(x)= (x-1) ^1/2 +3 / t(x)= - 1/ (x + 3)^2{ GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

A(x)= -2 ^ -x +1 / b(x)= (x+2)^3{ GRAPH THE FUNCTIONS BELOW AND LABEL ANY ASYMPTOTES OR CRITICAL POINTS } Please help and explain/ provide a graph

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

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) 

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

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

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

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

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

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