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

1. anonymous

2. anonymous

find

3. anonymous

4. anonymous

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

5. anonymous

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

6. anonymous

use the power rule keep in mind that derivative of a constant is 0 $$\bf \cfrac{d}{dx}[8x+4]\implies \cfrac{d}{dx}[8x]+\cfrac{d}{dx}[4]$$

7. anonymous

so it would be 4? @jdoe0001

8. anonymous

well. the derivative of 4, a constant is 0 what about the derivative of 8x? using the power rule you'd get?

9. anonymous

it would be 8? @jdoe0001

10. anonymous

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

11. anonymous

so it is 8? @jdoe0001

12. anonymous

yeap

13. anonymous

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

14. anonymous

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

15. anonymous

okay thank you so much @jdoe0001