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[DOCX File]§4.1 Maximum and Minimum Values - College of Arts and ...
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Apply the second derivative test to find the . x -coordinates of the maxima and minima of . f x = x 3 -2 x 2 +x . Solution. Start by finding the critical numbers. f ' x =3 x 2 -4x+1 ... tan x , - tan x . f ' >0 on (- π 2 , 0) and f '
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[DOC File]A
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There is a second part which incorporates inverse trig and log functions. ... The critical value of a function is any place where its derivative is either zero or undefined. Find all the critical values of the function s(t) on the interval [0, 1]. ... + tan(x) ln(x) F'(x) = 7. y = ln(ln(x)) + tan-1(tan-1(x)) y' = B. The volume V of a sphere of ...
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[DOC File]ECM-2D K L University - Home
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Newton forward formula to compute second derivative of y=f(x) at x = x0 is. Substituting the values from the table, we have. f''(15) = -0.004229. (iii) Since x = 24 is nearer to the ending of the table, we use Newton backward formula. Here the step size h = 2. Taking xn = 25, then . Newton backward formula to compute first derivative of y=f(x) is
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[DOCX File]MA-C2 Differential calculus Y12
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These skills are then applied in the following subtopic on the second derivative in order to investigate applications of the calculus of trigonometric, exponential and logarithmic functions. ... 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 .
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[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 ...
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[DOC File]AP Calculus Assignments: Derivative Techniques
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Find the equation of the tangent line to the graph of x3 – 3xy + y2 +19 = 0 at the point in the second quadrant where x = –4. 10. If f(x) = 2x5 + x3 + 1, find (f –1)'(–2).
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[DOC File]AP Calculus Free-Response Questions
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derivative f ‘ for selected points x in the closed interval -1.5 ≤ x ≤ 1.5. The second derivative of f has the. property that f’’(x) > 0 for -1.5 ≤ x ≤ 1.5. a. Evaluate Show the work that leads to your answer. b. Write an equation of the line tangent to the graph of f at the point where x …
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[DOC File]Calculus I
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6.) 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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[DOC File]Arizona State University
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The graph also shows why the derivative of cos(x) is –sin(x). The derivatives of the inverse trigonometric function follow a similar pattern to . While any function’s derivative can be proven via the method used above for normal trig functions, we will prove this one mathematically. A similar proof exists for every derivative.
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Second derivative of tan x