Warm Up Determine the average rate of change of

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Presentation transcript:

Warm Up Determine the average rate of change of over the interval [1, 9]. 2) Determine the instantaneous rate of change of at x = 9. 3) Write an equation of the tangent line to the curve at the point where x = 2.

Some Trig Derivatives & The Product and Quotient Rules for Differentiation

What is the derivative of y = sin (x) ?

What is the derivative of y = cos (x) ?

Write an equation of the tangent to the curve y = 4cos(x) at the point where x = π/6

Evaluate the derivative of the function at the indicated point.

Derivative of the second Product Rule… Derivative of the first Leave the first alone Derivative of the second Leave the second alone

Examples… Find the derivative, f ’(x)

Examples… Find the derivative, f ’(x)

Examples… Find the derivative, f ’(x)

Examples… Find the derivative, f ’(x)

Examples… Find

The Quotient Rule “low d high minus high d low over low low”

Examples: Find the derivative of each.

Examples: Find the derivative of each.

Examples… Find the derivative, f ’(x)

Use trig identities to determine the derivative of y = tan (x). Use trig identities to determine the derivative of y = cot (x).

Determine the derivative of y = 3cot (4x)

Determine the derivative of

Determine the derivative of each of the following. Mixed Practice Determine the derivative of each of the following.