Lecture 3_5 MonFeb11

Lecture 3_5 MonFeb11 - of two limits lim J sin J J =1 lim J...

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Monday, Feb. 11 3.1 and 3.2 Webassigns due Tuesday night 3.4 and 3.5 Webassigns due Thursday night Maple due Friday Test #2 Fri. Feb 22 covers everything up through 3.8 Again, review the def’n of dervitive “slope of tangent line at each x” Review all derivative rules learned thus far: Derivative of constant functions Power Rule – derivative of power functions Derivative of Sums and Differences of functions Derivatives of constant multiples of functions Derivative of Exponential Functions Derivatives of products Derivatives of quotients Lecture 3.4 Derivatives of Trigonometric Functions To prove the derivatives of y = sin J and y = cos J we’ll need to results
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Unformatted text preview: of two limits lim J sin J J =1 lim J cos J- 1 J = 0 Write down, using the limit def’n, the derivative of y = sinx Write down, using the limit def’n, the derivative of y = cosx Now that we have these two derivatives, we can find the derivatives of the other 4 basic trig. functions using quotient rule. Find the derivative of y = tanx using the quotient rule and the derivatives of sinx and cosx just derived. Find the derivative of y = secx Examples: 1. Differentiate: a. y = 1+ sin x 3- cos x b. y = e u (cos u + cu ) c. y = t 3 cos t Work through h/w #13 and #14 which prove the derivatives of cscx and cotx....
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This note was uploaded on 04/12/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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Lecture 3_5 MonFeb11 - of two limits lim J sin J J =1 lim J...

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