Derivative of cos 2 2x
[DOC File]MTH101 2nd Quiz - Ning
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If Sin(3x^2) / 6 + C is the anti–derivative of a function f(x), then f(x) = _____. x^2 Cos(3x^2). x Cos(3x^2). x Cos(3x). none. Which of the following is the integral of Sin(3x+5) with respect to x ? -1/3[-Cos(3x+5)] 1/3[-Cos(3x+5)] 1/15[-Cos(3x+5)] -Cos(3x+5)
[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
[DOCX File]The Derivative of the Natural Logarithmic Function
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y= ln sin θ cos θ 1+2 ln θ (Recall: ln xy =lnx+ln y and ln x y =lnx-lny & Sin 2x=2Sinx Cosx ) Bases Other than e Definition of Exponential function to Base If is a positive real number () and is any real number, then the exponential function to the base is denoted by and is defined byIf is the constant function .
[DOC File]AP Calculus Free-Response Questions
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2x + 1, for x < 2, f(x) = x2 + k, for x > 2. a. For what values of k will f be continuous at x = 2? Justify your answer. b. Using the value of k found in part a, determine whether f is differentiable at x = 2. Use the. definition of the derivative to justify your answer. c. Let k = 4. Determine whether f …
[DOC File]Section 1
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sin² x = ½(1 - cos 2x) ... Use derivative to drive a polynomial function to zero 2) Reduce polynomials to get a u-substitution 3) Use derivative to get the original integral And the simplify using addition/subtraction * * Strategies for Hard Trig Integrals * sin² x + cos² x = 1 From odd power, keep one sin x or cos x, for dx Use identities ...
[DOCX File]Department of Mathematics
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y= x 2 cos x -2x sin x -2 cos x . 9. y= tan x 1+ tan x 10. y=(1+ csc x ) cos x . Find the derivatives of the following functions. 11. y= 12 x 4 -8 x 2 +5 e x 3 12. y= 1+ cos x sin x -1 . 13. y= sec x tan 1 x 14. y=4 sin 1+ x . Find the derivative of y with respect to x. 15.
[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 ... Proofs of the derivatives of sin(x) and cos(x) are given in the proofs section; the results are quoted in order to give proofs ...
[DOC File]Vignette Name - University of Georgia
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The derivative of y=sin(x) is y’=cos(x), and the derivative of y=sin(2x) is y’=2*cos(2x). Since both cos(x) and cos(2x) are bounded by -1 and 1, the absolute value of 2cos(2x) will always be double the absolute value of cos(2x). Since the first derivative represents the rate of change of a function, the absolute value of the rate of change ...
[DOC File]Practice For MAT 130
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f '(x) = (1)sin(2x) + x cos (2x) 2 (chain rule on last part - derivative of interior 2x is 2) = sin(2x) + 2x cos(2x) (f) g(x) = tan (3x) g '(x) = sec2(3x) * 3 (chain rule - derivative of interior 3x is 3) (3) Extrema are, you know, like max or min: so in this order: f(x) = (1/3)x3 - 4x. (find Critical Points by setting f '(x) = 0:)
[DOC File]Section 1
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x f(x) f’(x) g(x) g’(x) -2 4 -1 5 6 -1 3 -5 1 7 0 -6 -3 8 -5 1 1 6 2 3 2 -1 5 1 ? Use your differentiation rules to determine each of the following. If p(x) = xf(x), find p’(2)
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