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[DOC File]A
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3. y = ln(x) tan-1(x) 4. H(() = ln 5. y = sin-1(ln(x)) + ln(3 - sec(x)) 6. F(x) = ln(tan(x)) + tan(ln(x)) + tan(x) ln(x) 7. y = ln(ln(x)) + tan-1(tan-1(x)) B. The volume V of a sphere of radius r (in cm) is given by the formula V = . 1. Compute . Provide units. 2. Now suppose that r = r(t); that is, suppose that r is changing over time. Measure ...
derivative of tangent

[DOC File]AP Calculus Assignments: Derivative Techniques
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Use nDeriv on your calculator to graph and its derivative. (Enter . Y = nDeriv(e^(X),X,X)) What is the derivative of ? If the graph doesn’t do it for you, check the tables. ... 5. 6. f(x) = tan (2x) 7. 8. y = tan–1 x 9. f(x) = x2ln x 10. f(x) = e–x cos (2x) 11. 12. 13. f(x) = 6x2e–0.5x 14. 15. y = sin–1 x 16. f(x) = ln(x2 – 3x + 4 ...
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[DOCX File]Department of Mathematics
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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. y= ln x 1+ x 16. y= e sin x ln x 2 +1 . 17.
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[DOC File]1982 AP Calculus AB - Ryono
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Replace y with to get C in terms of ‘x’: x > 0 so consider only x = 3 meters. y . 4 m x. C decr incr – + From the 1st derivative number line, we have minimum cost when x = 3 meters, since dC/dx goes from negative to positive. minC = 120 + 120 + 90 = $330
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[DOC File]Derivatives
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Function Derivative xn nx n-1 ex ex ax (ln a)ax uv If y = f(u) and . u = g(x), then sin x cos x cos x - sin x tan x ln x * arctan x * arcsin x * *Derived on pgs. 226-27 of Hughes-Hallett. Integrals. Function Integral xn ex ex sin x - cos x cos x sin x tan x - ln | cos x | tan x ln x ln x x ln x – x , x …
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[DOC File]DIFFERENTIATING TRIG FUNCTIONS
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(b) Alternatively, we can use the fact that the derivative of sin(x) is cos(x) to find the . derivative of cos(x): If y = cos(x) then y = sin( π – x) 2 So dy = cos (π – x) × (– 1) dx 2 = – sin(x) 3.(a) Suppose y = tan(x) To find dy we could use the fact that tan(x) = sin(x)
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[DOC File]Lesson Plan Template - Hollywood High School
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Jun 14, 2011 · [tan-1(x)](1+x2) (2) Find y' by implicit differentiation from (tan-1y)(x2+1) = 10. (3) Without trying to solve for y', implicitly differentiate sin-1(exy) = 5 . Assessment . Calculate dy/dx if or find the derivatives of the following functions: 1. y = sin(3x21) 2. y = cosec x 3. f(x) = tan(x21)
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[DOC File]Derivatives of Inverse Functions – Notes
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So we begin with: . Now take the derivative w.r.t. ‘x’. Substituting x for ey (or keeping in mind that y = ln x)… 2. (a) If . Recall and . So (b) Use implicit differentiation to get the derivative of the inverse of . Exchange the ‘x’ and the ‘y’ to get: x = Sin y. Take the derivative w.r.t. x:. Now we pull out that ‘Rt Triangle ...
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[DOCX File]Central Bucks School District
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18.) f x = sec x cos x + sin 2 x csc x 19.) f x = tan x cos x cot x Directions: Find f 4 x and f 4 -1 for the following function. 20.) f x =3 x 6 -5 x 4 +6 x 3 -7x
derivative of tangent

[DOC File]Possible FP3 questions from old P4, P5, P6 and FP1, FP2 ...
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(a) Given that y = arctan 3x, and assuming the derivative of tan x, prove that = . (4) (b) Show that = (4( ( 3(3). (6) [P5 June 2002 Qn 6] 6. Figure 1. y. O x. The curve C shown in Fig. 1 has equation y2 = 4x, 0 ( x ( 1. The part of the curve in the first quadrant is rotated through 2( radians about the x axis.
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Derivative of tan x y