C30.7
Demonstrate understanding of transcendental function derivatives and their applications.

[C, CN, R, T, V]

Indicators for this outcome
(a)

Develop an understanding of e using limits.

(b)

Utilize the squeeze theorem to evaluate limits involving trigonometric functions.

(c)

Develop, explain, and apply strategies to determine derivatives of the following transcendental functions:

  • exponential and logarithmic functions using any base
  • sine and cosine functions.
(d)

Apply first and second derivatives to sketch graphs of:

  • exponential and logarithmic functions using any base
  • sine and cosine functions
  • composite transcendental functions.
(e)

Critique the statement, “A function and its derivative are always different.”

(f)

Solve situational problems involving the derivatives of transcendental functions.

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