Question

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.)

f'(0)
f'(1)
f'(2)
f'(3)
f'(4)
f'(5)

Answer 1

all you have to do is guesstimate the slope of f(x) at each x-value, so
f'(0)=-3(approx) and so on

Answer 2

*guesstimate the slope of the tangent line that is, lol

Answer 3

I dont really understand the concept

Answer 4

f'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0

Answer 5

hello are you still there?

Answer 6

yes

Answer 7

do you understand it, or do you need further explanation?

Answer 8

ok i am trying to look at the picture and see what u mean

Answer 9

let me know when you are here

Answer 10

here, i drew the tangent lines at x=1 and x=3
a tengent line takes the current slope of the curve at that exact point and extends it in a straight line. the derivative of a function at a point is the slope of the tangent at the point. so when the curve bottoms out at x=0 the exact slope of the tangent line is zero, so the y value of the derivative is zero

Answer 11

did that help?

Answer 12

unfortunately my connection is going bad, so i have to go. i hope i helped some :)