Find the equation of the tangent line to the curve

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Reference no: EM131043811

DIRECTIONS: SHOW ALL WORK OR OTHERWISE DEMONSTRATE ALL ANSWERS THROUGH YOUR WORK.

Cool Curve 1:

Consider the function g(x) =

Step 1: Find all horizontal tangent lines (if any ) of g(x). If there are no horizontal tangent lines, explain why there are no horizontal tangent lines.

Step 2: Find all vertical tangent lines (if any ) of g(x). If there are no vertical tangent lines, explain why there are no vertical tangent lines.

Step 3: Find the equation of the tangent line to the curve at x = 2

Step 4: Graph, using Winplot (or something equivalent) the function, any horizontal and vertical tangent lines, and the tangent line at x = 2. Label that as Graph 1 and attach to this document.

Cool Curve 2:

Consider the curve .

Step 1: Find all horizontal tangent lines (if any ) of f(x). If there are no horizontal tangent lines, explain why there are no horizontal tangent lines.

Step 2: Find all vertical tangent lines (if any ) of f(x). If there are no vertical tangent lines, explain why there are no vertical tangent lines.

Step 3: Find the equation of the tangent line to the curve at x = -1

Step 4: Graph, using Winplot (or something equivalent) the function, any horizontal and vertical tangent lines, and the tangent line at x = -1. Label that as Graph 2 and attach to this document.

Reference no: EM131043811

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