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Calculus Chapter 5 Supplemental Apply derivatives of trigonometric functions

Calculus Chapter 5 Supplemental Apply derivatives of trigonometric functions. Derivative Rules for Trigonometric Functions 1. f(x) = sin u f’(x) = cos u du/ dx 2. f(x) = cos u f’(x) = - sin u du/ dx f(x) = tan u f’(x) = sec 2 u du/ dx.

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Calculus Chapter 5 Supplemental Apply derivatives of trigonometric functions

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  1. Calculus Chapter 5 SupplementalApply derivatives of trigonometric functions Derivative Rules for Trigonometric Functions 1. f(x) = sin u f’(x) = cos u du/dx 2. f(x) = cos u f’(x) = - sin u du/dx f(x) = tan u f’(x) = sec2 u du/dx Recall: the derivative of a function is a formula which gives the slope of the function at any given point. Consider the graphs of f(x) = sin x and f(x) = cos x …

  2. More derivative Rules f(x) = cot u f’(x) = - csc2 u du/dx f(x) = sec u f’(x) = sec u tan u du/dx f(x) = csc u f’(x) = - csc u du/dx Other trig identities csc x = 1/sin x sec x = 1/ cos x cot x = 1/ tan x sinx / cos x = tan x

  3. Find the derivative f(x) = (cos x)(sin x) f(x) = sin2x + cos2 x

  4. Find the derivative y = csc (x2 + 4x – 8) y = sec2(tan x)

  5. What is the slope of y = tan x when x = .5 ? Find the relative extremaof y = sec x for 0 < x < π

  6. assignment Page 510 Problems 2 – 48 even

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