SOLUTION: Find the instantaneous rate of change of f(x)=x^2-(2/x)+4 at x=-1 A. -7 B. -4 C. 0 D. 4 E.7

Algebra ->  Rational-functions -> SOLUTION: Find the instantaneous rate of change of f(x)=x^2-(2/x)+4 at x=-1 A. -7 B. -4 C. 0 D. 4 E.7       Log On


   

Question 1098779: Find the instantaneous rate of change of f(x)=x^2-(2/x)+4 at x=-1
A. -7 B. -4 C. 0 D. 4 E.7
Found 4 solutions by josgarithmetic, greenestamps, ikleyn, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
df%2Fdx=2x-2%28-1%29%281%2Fx%29%5E2
df%2Fdx=2x%2B2%2Fx%5E2


-
x=-1:
-
2x%2B2%2Fx%5E2
2%28-1%29%2B2%2F%28-1%29%5E2
-2%2B2
highlight%280%29-----------rate of change when x is NEGATIVE 1.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

The instantaneous rate of change of a function f(x) at x=1 is the derivative of the function, evaluated at x=1.

f(x) = x^2-(2/x)+4 = x^2 -2x^(-1)+4
f'(x) = 2x+2x^(-2)
f'(1) = 2+2 = 4

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find the instantaneous rate of change of f(x)=x^2-(2/x)+4 at x=-1
A. -7 B. -4 C. 0 D. 4 E.7
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The correct answer is  0  (zero).

Option  C).




Plot y = x%5E2-%282%2Fx%29%2B4


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the instantaneous rate of change of f(x)=x^2-(2/x)+4 at x=-1
A. -7 B. -4 C. 0 D. 4 E.7 
Correct answer: highlight_green%28matrix%281%2C3%2C+0%2C+or%2C+%22C.%22%29%29

IGNORE all other WRONG/INCORRECT/RIDICULOUS answers.