13112an3.7-8

13112an3.7-8 - c Kendra Kilmer February 3, 2012 Section 3.3...

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Unformatted text preview: c Kendra Kilmer February 3, 2012 Section 3.3 - Derivatives of Trigonometric Functions Derivatives of Trigonometric Functions: • If f (x) = sin x, then f ′ (x) = cos x • If f (x) = cos x, then f ′ (x) = − sin x • If f (x) = tan x, then f ′ (x) = • If f (x) = csc x, then f ′ (x) = • If f (x) = sec x, then f ′ (x) = • If f (x) = cot x, then f ′ (x) = Example 1: Determine the missing derivatives of the trigonometric functions above. 7 c Kendra Kilmer February 3, 2012 Example 2: Differentiate the following functions: √ a) f (x) = x sin x b) g(θ ) = eθ (tan θ − θ ) c) h(x) = 1 + sin x x + cos x d) y = x2 sin x tan x Example 3: Find the equation of the tangent line to the curve y = 1 at the point (0, 1) sin x + cos x Section 3.3 Highly Suggested Homework Problems: 1, 5, 9, 13, 19, 21, 27, 35 (Do not simplify) 8 ...
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13112an3.7-8 - c Kendra Kilmer February 3, 2012 Section 3.3...

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