Use the limit definition to compute the derivative of the function f(t):5-tat t -4= _(Use symbolic notation and fractions where needed.)f'-4)Find anequation of the tangent line to the graph of f at t =-4.(Use symbolic notation and fractions where needed. Let y = f(t). Express equation in terms of variables y and t.)equation:

Question
Asked Sep 30, 2019
Use the limit definition to compute the derivative of the function f(t):
5-t
at t -4
= _
(Use symbolic notation and fractions where needed.)
f'-4)
Find an
equation of the tangent line to the graph of f at t =
-4.
(Use symbolic notation and fractions where needed. Let y = f(t). Express equation in terms of variables y and t.)
equation:
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Use the limit definition to compute the derivative of the function f(t): 5-t at t -4 = _ (Use symbolic notation and fractions where needed.) f'-4) Find an equation of the tangent line to the graph of f at t = -4. (Use symbolic notation and fractions where needed. Let y = f(t). Express equation in terms of variables y and t.) equation:

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Step 1

Consider the given funct...

2
The given function is J 5-t
Substitute t-4 in the function as follows
2
f(4)=
5-(-4)
2
2
So, the point is-4
Compute the derivative of the function as follows
d
f'(t)
dt5-t
2
2
(5-)
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2 The given function is J 5-t Substitute t-4 in the function as follows 2 f(4)= 5-(-4) 2 2 So, the point is-4 Compute the derivative of the function as follows d f'(t) dt5-t 2 2 (5-)

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