Chap 20 Review

\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]

Exercise 1 Here are several functions that are related by differentiation and integration:

  1.   \(\frac{1}{a} e^{ax + b}\)
  2.   \(a^2 e^{a x + b}\)
  3.   \(\frac{1}{a^2} e^{ax + b}\)
  4.   \(e^{ax + b}\)
  5.   \(a e^{ax + b}\)

Put these functions in order that the derivative of each function preceeds the anti-derivative.

The order is b-e-d-a-c

The order is b-d-e-c-a

The order is b-d-c-e-a

The order is e-b-d-c-a

The order is e-b-d-a-c

question id: naCVxW

Exercise 2 Here are several functions that are related by differentiation and integration:

  1.   \(-\cos(x)\)
  2.   \(\cos(x)\)
  3.   \(\sin(x)\)
  4.   \(-\sin(x)\)

Put these functions in order that the derivative of each function preceeds the anti-derivative.

a-b-d-c

b-d-c-a

d-b-a-c

a-d-b-c

b-a-d-c

question id: chain-of-differentiation-2

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