2. Consider the function 𝑑/𝑑𝑥 (𝑥 ^4 − 𝑎) ∙ (𝑏 − 𝑐𝑥)

Question

A. State the product rule.

B. Use the product rule to find and simplify the following derivative: 𝑑/𝑑𝑥 (𝑥 ^4 − 𝑎) ∙ (𝑏 − 𝑐𝑥)

C. Find the equation of the tangent line at the point where 𝑥 = 0.

D. Include a graph (not hand drawn; use one of the graphing resources listed in the syllabus) of the function and the tangent line. Be sure to choose the graphing window appropriately so that the graph clearly shows the point of tangency and there are no huge areas of empty space.

Answer 1

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