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# Derivatives, Limits and Equation of Tangent Lines

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1. Use the limit definition to find f'(x) for f(x) = ? (show all work).

2. Write the limit definition of derivative: f'(x) = lim

3. For the function f(x) = , use the limit definition of derivative to find the slope of the tangent line to the function at x=4.

Show all steps for full credit.

(b) Find the equation of the tangent line to f(x) at x=4. Show all work.

See the attached file.

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Step-by-step solutions to the derivatives, limits and equation of tangent lines.

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• BSc, Meerut University
• MSc, Meerut University
• MPhil, Institute of Advanced Studies
• MSc, AIT
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