MATH137 Lecture Notes - Lecture 6: Scilab, Paula Smith, Quotient Rule

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MATH137 Full Course Notes
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Math 137 week 6 notes dr. paula smith: 3. 3 we use the limit definition to find the derivative of f(x) = sin x. sin( lim. 0 h sin x cos h sin h cos x h sin x h cos x cos h. 1 h lim 0 h (sin x lim. 0 h sin x lim h sin x lim. 0 are the slopes at x = 0 of cos x and sin x, respectively. By a similar proof, the derivative of cos x = sin x. We use the quotient rule to find the derivative of tan x and sec x: (tan x sin x cos x cos x (cos x cos (sin. 1 cos x cos x tan x sec x. By similar proofs, (cot x) = csc2x and (csc x) = cot x csc x. These derivatives do not repeat after a cycle. 3. 4 the chain rule gives the derivative of a composition of two functions.

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