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Tutorial Exercise Find f^(')(a). f(t)=(9t+59)/(t+8) Step 1 To find f^(')(a), we will use the formula f^(')(a)=lim_(t->a)(f(t)-f(a))/(t-a). Since f(t)=(9t+59)/(t+8) we have f^(')(a)=lim_(t->a)((9t+59)/(t+8)-(9a+59)/(a+8))/(t-a). Putting the fractions in the numerator over a common denominator and simplifying, we have (9t+59)/(t+8)-(9a+59)/(a+8)=((9t+59)()-(9a+59)(t+8))/((t+8)(a+8)) =(9ta+59a+72t+472-9at-59t-72a-472)/((t+8)(a+8)) =((1)t-1a)/((t+8)(a+8)). Tutorial Exercise Find fa. 9t+59 f(t= t+8 Step1 To find f'a),we will use the formula ft-f(a fa)= lim e t-a 9t+59 Since f(t)= we have t+8 9t+59 9a+59 f'(a)= lim t+8 a+8 t-a t=a Putting the fractions in the numerator over a common denominator and simplifying, we have 9t+59 t+8 9a+59 9t+59 a+8 9a+59t+8 t+8a+8 9ta+59a+72t+4729at-59t-72a-472 t+8a+8 t+8a+8

Name: tutorial exercise find fa ft9t59t8 step 1 to find fa we will use the formula falimt aft fat a since ft9t59t8 we have falimt a9t59t8 9a59a8t a putting the fractions in the numerator over a 64391
Uploaded: 2023-04-02T18:49:03-08:00
Duration: 1 min 10 s
Channel: Andrew Noble
Description: tutorial exercise find fa ft9t59t8 step 1 to find fa we will use the formula falimt aft fat a since ft9t59t8 we have falimt a9t59t8 9a59a8t a putting the fractions in the numerator over a 64391

          Tutorial Exercise
Find f^(')(a).
f(t)=(9t+59)/(t+8)
Step 1
To find f^(')(a), we will use the formula
f^(')(a)=lim_(t->a)(f(t)-f(a))/(t-a).
Since f(t)=(9t+59)/(t+8) we have
f^(')(a)=lim_(t->a)((9t+59)/(t+8)-(9a+59)/(a+8))/(t-a).
Putting the fractions in the numerator over a common denominator and simplifying, we have
(9t+59)/(t+8)-(9a+59)/(a+8)=((9t+59)()-(9a+59)(t+8))/((t+8)(a+8))
=(9ta+59a+72t+472-9at-59t-72a-472)/((t+8)(a+8))
=((1)t-1a)/((t+8)(a+8)).
Tutorial Exercise
Find fa.
9t+59 f(t= t+8
Step1
To find f'a),we will use the formula
ft-f(a fa)= lim e t-a
9t+59 Since f(t)= we have t+8
9t+59 9a+59 f'(a)= lim t+8 a+8 t-a t=a
Putting the fractions in the numerator over a common denominator and simplifying, we have
9t+59 t+8
9a+59 9t+59 a+8
9a+59t+8
t+8a+8
9ta+59a+72t+4729at-59t-72a-472 t+8a+8
t+8a+8

$tutorial exercise find fa ft9t59t8 step 1 to find fa we will use the formula falimt aft fat a since ft9t59t8 we have falimt a9t59t8 9a59a8t a putting the fractions in the numerator over a 64391$

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