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Express the derivative dy/dx in terms of x

/in /by

Express the derivative dy/dx in terms of x if

Use implicit differentiation to find an equation of the line tangent to the curve

Sketch the graph of f (x). Identify all extrema, inflection points, and intercepts, and asymptotes. Show the concave structure clearly and note any discontinuities.

Given f (x) = x2 + 3, find the exact area A of the region under y = f (x) on the interval [1, 3] by first computing

and then taking the limit as. n→∞

Sketch the region bounded by the graphs of: , y = 1 and then find its area.

6. Use the following conditions to sketch a graph of the function .

(1)

(2)

(3)

 
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