Question

Let f(x) be the function whose graph is shown below.



Determine f′(a) for a=1,2,4,7.
f′(1)=

f′(2)=

f′(4)=

f′(7)=

Answer 1

@dan815

Answer 2

im still here if anyone wants to answer

Answer 3

f'(a) is the slope of f(x) at the point x=a

Answer 4

okay

Answer 5

what is the slope of the function at x=a=1?

Answer 6

0

Answer 7

good!,

Answer 8

same for 2

Answer 9

yes!

Answer 10

what about at the point x=a=4?

Answer 11

-4.666667

Answer 12

ish

Answer 13

wait

Answer 14

hmm, no, the slope is positive here

Answer 15

1/2

Answer 16

good!

Answer 17

and the last one f'(7) = ?

Answer 18

is it 0?

Answer 19

yes, x=7 is the point at the bottom of the curvy bit

Answer 20

it is zero.

Answer 21

Thanks man :D

Answer 22

Good work.

Note that at the points x=a = 3 or = 5
(the corner points) the slope/derivative are not defined.

Answer 23

ah okay