Chapter 3, Problem 52RE

Differentiate and simplify

Simplify

Determine the function equation using cosine as your parent function.

Number 24

Practice 4: a) Find at least the first eight derivatives of pattern you observe. sin x and observe the pattern that occurs. Write out the b) From the pattern you observe in part a), find the derivative: d23 dx I sinx

Describe how to find the slope of the tangent line to the graph of a function at a point.

A cardiac monitor is used to measure the heart rate of a patient after surgery. It complies the number of heartbeats after t minutes. When data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute. t (min) Heartbeats (b) t-38 and t - 42 (c) t-40 and t - 42 36 (d) t-42 and t-44 38 2,503 2,639 40 2,773 The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.) (a) t-36 and t-42 42 44 2,903 3,033

Glim Sinx ex-1

Write an equation (second degree) satisfied by two functions f and g having the same derivative. Explain graphically the importance of the third terms