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[DOC File]AP Calculus Free-Response Questions
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147. Let f be the function defined by f(x) = (1 + tan x)1.5 for < x < a. Write an equation for the line tangent to the graph of f at the point where x = 0. b. Using the equation found in part a, approximate f(0.02). c. Let f -1 denote the inverse function of f. Write an expression that gives f -1(x) for all x in the. domain of f -1…
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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.
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[DOC File]TUTORIAL-01
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P.T. between any two real roots of the equations ex sinx = 1, there is at least one root of the equation ex cos x + 1= 0 Verify Rolle’s Theorem , F(x) = log [] in (2,3) Using Lagrange’s Mean Value Theorem prove that if a < 1, b< 1 and a< b, then
derivative of tangent 1

[DOC File]1
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Differentiate this equation and solve for the derivative of . Suppose that f(2) = 3 and . Can you find the value of the derivative of at. x = 2, 3, and 4? Explain. Find. INVERSE CLASSWORK. Find the derivatives of the following: 1. cos-1(2x) 2. sin-1(1/x) 3. tan-1(ex) 4. cot-1() 5. sec-1(8) 0 5. csc-1(x2) 6. Use the following table to find the ...
derivative of cosx

[DOCX File]November 12, 1997
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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 using trigonometric identities: g x = sec x = 1 cos x . …
tan x y

[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 ...
differentiation of tan inverse x

[DOC File]1 - Xtreme
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1. Use the derivatives of sin x and cos x to prove that the derivative of tan x is sec2 x. (4) 2. The function f is given by f : x 2 + , x ( ℝ, x ( –2. (a) Express 2 + as a single fraction. (1) (b) Find an expression for f –1(x). (3) (c) Write down the domain of f –1. (1) 3. (a) Express as …
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[DOC File]1
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Use the definition of derivative to create a limit for the following notation: d/dx tan(x) at x = . 3. If f(x) = 5x4 + 18x3 + 14x2 + 8, use the definition of a derivative to create a limit and simplify the derivative at x = -1.
derivative of inverse tan x

[DOC File]Section 1
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Section 3.1: Derivatives of Polynomials and Exponential Functions. SOLs: APC.5: The student will apply formulas to find the derivative of algebraic, trigonometric, …
d dx 1 x 2 tan 1x

[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 ... 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) 17. Use the graph at right to evaluate ...
d dx tan 1 x

Derivative of tan 1 x