Chapter 2: Q. 22 (page 197)
If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not.
Chapter 2: Q. 22 (page 197)
If possible, find constants a and b so that the function f that follows is continuous and differentiable everywhere. If it is not possible, explain why not.
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Get started for freeProve the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
Stuart left his house at noon and walked north on Pine Street for minutes. At that point he realized he was late for an appointment at the dentist, whose office was located south of Stuart’s house on Pine Street; fearing he would be late, Stuart sprinted south on Pine Street, past his house, and on to the dentist’s office. When he got there, he found the office closed for lunch; he was minutes early for his appointment. Stuart waited at the office for minutes and then found out that his appointment was actually for the next day, so he walked back to his house. Sketch a graph that describes Stuart’s position over time. Then sketch a graph that describes Stuart’s velocity over time.
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Differentiation review: Without using the chain rule find the derivative of each of the function f that follows some algebra may be required before differentiating
Find the derivative of the absolute value function and piecewise defined function
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