Question

I need help!!

Answer 1

Consider f(x)= x^3. Determine the following:
a. The derivative of f at x= -1
b. The derivative of f at an arbitrary value of x
c. The slope of tangent to f at x=2

Answer 2

So for a is it be 3(-1)^2= 3

Answer 3

correct

Answer 4

because the derivative of x^3= 3x^2

Answer 5

yeah

Answer 6

what they mean by the arbitrary?

Answer 7

i bet $12 they want you to do this by the definition, not the power rule

Answer 8

no

Answer 9

you answered question two yourself when you wrote
because the derivative of x^3= 3x^2

Answer 10

in your answer "x" is arbitrary

Answer 11

my bet still holds

Answer 12

so.. then what can i say about part b

Answer 13

at the risk of repeating myself, you already answered part b
you said "the derivative of x^3 is 3x^2"
that is the answer

Answer 14

are you sure?

Answer 15

very sure

Answer 16

because I have a different answer for this one

Answer 17

The derivative of f at \[\huge \text{ an arbitrary value of x}\]

Answer 18

nevermind you are right

Answer 19

for part c i get 12

Answer 20

yes

Answer 21

Thanks a lot

Answer 22

i still bet they want you to do this by hand
not that it matters, but the way the question is phrased can't mean anything else q

Answer 23

yw

Answer 24

@satellite73 how about the rate of change of f at 1

Answer 25

do we have to use the limit formula?