Question

Use the given graph to determine the limit, if it exists.
@amistre64 @phi @solomonzelman @jdoe0001 @paki

Answer 1

find

Answer 2

@jdoe0001 please help

Answer 3

well... the situation is the same as before really

notice the left-sided limit, it ends up at -1
whilst the right-sided limit ends up at -4

so they don't meet, thus the double-sided limit does not exist

Answer 4

Find the derivative of f(x) = 8x + 4 at x = 9.

Answer 5

use the power rule
keep in mind that derivative of a constant is 0

\(\bf \cfrac{d}{dx}[8x+4]\implies \cfrac{d}{dx}[8x]+\cfrac{d}{dx}[4]\)

Answer 6

so it would be 4? @jdoe0001

Answer 7

well. the derivative of 4, a constant
is 0

what about the derivative of 8x? using the power rule you'd get?

Answer 8

it would be 8? @jdoe0001

Answer 9

yeap, is a constant, is 8
so that's the derivative

f'(x) = 8

now if we set x = 9
the derivative or the function, doesn't change, still 8, since it's a constant

Answer 10

so it is 8? @jdoe0001

Answer 11

yeap

Answer 12

The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative.
@jdoe0001

Answer 13

hmm not very sure on that one
if we were to take the derivative, is just -3
a constant, thus t = 8 will make no difference on the derivative

but you may want to repost, since I'm not sure on that one

Answer 14

okay thank you so much @jdoe0001