Use the limit definition to compute the derivative of the function f(t) = ^at t = -34-t(Use symbolic notation and fractions where needed.)f'(-3)Find anequation of the tangent line to the graph of f at t = -3.(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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Asked Sep 30, 2019
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Use the limit definition to compute the derivative of the function f(t) = ^
at t = -3
4-t
(Use symbolic notation and fractions where needed.)
f'(-3)
Find an
equation of the tangent line to the graph of f at t = -3.
(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) = ^ at t = -3 4-t (Use symbolic notation and fractions where needed.) f'(-3) Find an equation of the tangent line to the graph of f at t = -3. (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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Expert Answer

Step 1

The derivative of the functi...

2
f()
4-
=
f'(t)lim +h)-f(i)
h
h0
2
2
4-(th) 4-
=lim
h0
2(4-)-2(4-()
= lim
h(4-(4 )
h0
2h
= lim
h
1
(4-)(4-)
h0
2
(4-)
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2 f() 4- = f'(t)lim +h)-f(i) h h0 2 2 4-(th) 4- =lim h0 2(4-)-2(4-() = lim h(4-(4 ) h0 2h = lim h 1 (4-)(4-) h0 2 (4-)

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Math

Calculus

Derivative