The slope of tangent line

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Reference no: EM1316484

Question. Draw the graph of f(x) = 2 sqrt(x)

  1. Use the definition of the derivative to find f’(x)
  2. What is the domain f’(x)
  3. What is the domain
  4. On what interval is it continuous
  5. What is the slope of the tangent line to y = f(x) at x = 1
  6. What is the slope at x = 4
  7. Does lim x → 0+ f’(x)
  8. Describe the behavior of f’(x) as x → o+
  9. Without calculating, decide whether the slope of the tangent line at x=9 is more or less than the slope at x = 4
  10. Does lim x → 0+ f(x) exist?

 

Reference no: EM1316484

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