Derivative of tan 2 x
[DOCX File]November 12, 1997
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Sec 2.6 – General Differentiation . Differentiation of Other Trig FunctionsName: Let’s try to prove the derivative of the function f x =tan x using trigonometric identities: f x = tan x = sin x cos x . Using the quotient rule determine the derivative of . f x .Let’s try to prove the derivative of the function . g x = sec x
[DOC File]AP Calculus Assignments: Derivative Techniques
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HW Derivative Techniques - 1 . 2 Product and quotient rules HW Derivative Techniques - 2. 3 Derivatives of exponential and log functions HW Derivative Techniques - 3 . 4 Derivatives of Trig Functions HW Derivative Techniques - 4. 5 Rates of Change HW Derivative Techniques - 5 . 6 Practice **QUIZ** HW Derivative Techniques - 6
[DOC File]MAT 265 - Arizona State University
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MASTERY TEST REVIEW. Find the derivative of each of the following functions. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14.
[DOC File]AP Calculus Free-Response Questions
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x-axis and the graphs of y = 2 – x3 and y = tan x. The region S is bounded by the y-axis and the graphs of . y = 2 – x3 and y = tan x. a. Find the area of R. b. Find the area of S. c. Find the volume of the solid generated when S is revolved about the x-axis. 206.
[DOC File]TUTORIAL-01
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2) Find the unit tangent vector to the curve x = t, y = t,z = tat t=1. 3) Prove that where =xi+yj+zk 4) A particle moves along the curve r=ecost i+ esint j+ ek find the tangent at t=0
[DOC File]Lesson Plan Template - Hollywood High School
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Jun 14, 2011 · derivative. of the trigonometric function. Commonplace trigonometric functions include sin(x), cos(x) and tan(x). Knowledge of differentiation from first principles is required, along with competence in the use of . trigonometric identities. and limits. All functions involve the arbitrary variable x, with all differentiation performed with ...
[DOCX File]MA-C2 Differential calculus Y12
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Lead students to use the quotient rule to determine the derivative . d dx ( tan x )= sec 2 x by using the identity tan x = sin x cos x . Use this result to lead students to apply the chain rule to determine . d dx ( tan f x )= f ' x sec 2 f(x) Differentiating exponential functions (2 or 3 lessons)
[DOC File]5 - THANGARAJ MATH
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Prove that the derivative of tan(x) is sec2(x) by writing tan(x) in terms of sin and cos and then using the quotient rule. If f(x) = tan(x) = sin(x)/cos(x), then f’(x) = 1. Determine the derivative of the following: a) y = tan(4x) b) y = 2tan(x3 + 2x) c) y = x2 · tax(-6 x) (use product rule) d) y = y = (cosx + tanx)5 e) tan(2x+5)/ 36x+ 2 ...
[DOCX File]Mark scheme - NLCS Maths Department
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The derivative of tan x was usually familiar, but those candidates who started with sin 2x/cos 2x usually got lost in algebraic complexity. A surprising number lost marks through giving the derivative of tan 2x as sec2x, or omitting the ‘2’ in 2 sec22x.
[DOC File]Calculus I
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Use the Second Fundamental Theorem of Calculus to find the derivative of g(x) = . 7.) An experiment involves finding the area to the right of the y-axis and under the curve y = tan x as x increases. Find the instantaneous rate of change in the area when x = π/3. 8.) A box is supposed to be a cube with each side having length 5 inches.
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