Question

PLEASE HELP…CALCULUS
Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm you results.

f(x)=3-3/5t (3/5,2)

Answer 1

A graphing calaculator

Answer 2

could you explain to me completely?

Answer 3

this is the function: \(\large f(t)=3-\frac{3}{5t} \) ????

Answer 4

yesss

Answer 5

ok... so take the derivative.... and evaluate that at \(\large x=\frac{3}{2} \)

Answer 6

@dpaInc x=3/5 not 3/2

Answer 7

\(\large f(t)=3-\frac{3}{5t}=3-\frac{3}{5}t^{-1} \)
\(\large f'(t)=\frac{3}{5}t^{-2} \)
\(\large \frac{3}{5}t^{-2}|_{x={3/5}}=\frac{3}{5}\cdot \frac{25}{9}=\frac{5}{3} \)

oohh... thanks @ipm1988 .... i read your post before i entered this... :)

Answer 8

@dpaInc no problem :)

Answer 9

now... the problem states confirm with your graphing utility.... what calculator do you use?

Answer 10

TI-73

Answer 11

ok.... enter the function into your calculator as " \(\large y_1= \) "

Answer 12

ok.

Answer 13

graph it ....
now press "calc" --> "dy/dx" -->"3/5"

your calculator will give you "x=1.66667"

Answer 14

yes it did

Answer 15

isn't there a way to do it without a calculator though

Answer 16

which is the calculator's approximation for 5/3...

ok....????

Answer 17

yeah....
it's in my third post here....
@ipm1988 also showed you in his docx file....

Answer 18

Ok thanks. for some reason I can't open @ipm1988s up but thanks for your help I think I got it.

Answer 19

did you understand how i got the derivative?

Answer 20

i just rewrote the function so i can use the power rule....

Answer 21

yes

Answer 22

I understood

Answer 23

thankyou

Answer 24

ok... so the thing we did with the calculator just confirms that our answer is correct...

Answer 25

yw... :)