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Compute f and find anequation of the tangent line to the graph at x = a.f(x) 13x3, a 5(Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of x and y.)f'(x)equation:

Question
Compute f and find an
equation of the tangent line to the graph at x = a.
f(x) 13x3, a 5
(Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of x and y.)
f'(x)
equation:
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Compute f and find an equation of the tangent line to the graph at x = a. f(x) 13x3, a 5 (Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of x and y.) f'(x) equation:

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check_circleAnswer
Step 1

Given function f(x):

f(x) —13х-3
Io find: the equation of tangent line at a 5
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f(x) —13х-3 Io find: the equation of tangent line at a 5

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Step 2

Note:

Equation of tangent at a point a is given as
У —У, — т(x — х;)
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Equation of tangent at a point a is given as У —У, — т(x — х;)

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Step 3

Begin with finding the slope of the function at th...

d
- 13— (х-3)
f'(x)la=s
dx
- 13 * -3(х-4)
-39
625
Now, we substitute the values.
13
13
-39
(x - 5)
at x 5, y =
у
125
625
125
52
-39
у 3
625
125
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d - 13— (х-3) f'(x)la=s dx - 13 * -3(х-4) -39 625 Now, we substitute the values. 13 13 -39 (x - 5) at x 5, y = у 125 625 125 52 -39 у 3 625 125

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Tagged in

Math

Calculus

Functions

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