Question

How would I find the instantaneous rate of change using this formula y=3.9657(0.9982^x) and given a table of values?

Answer 1

789

Answer 2

greta knows is cursing at me

Answer 3

you could proceed multiple ways, but one would be to differentiate y with respect to x, and then plug in some value for x

Answer 4

ok thanks! how would I go about differentiating the function?

Answer 5

\[d/dx(a b^{x}) = (alnb)b^{x} \]

Answer 6

Oh so:
y=3.9657(0.9982^x)
y'=3.9657(0.9982^x) ln0.9982
(if x=30)
y'=3.9657(0.9982^(30)) ln0.9982
y'=-0.00677