  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 help_outlineImage TranscriptioncloseCompute 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: fullscreen
Step 1

Given function f(x): help_outlineImage Transcriptionclosef(x) —13х-3 Io find: the equation of tangent line at a 5 fullscreen
Step 2

Note: help_outlineImage TranscriptioncloseEquation of tangent at a point a is given as У —У, — т(x — х;) fullscreen
Step 3

Begin with finding the slope of the function at th... help_outlineImage Transcriptionclosed - 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 fullscreen

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