GWU : MATH 032 : Section 3.4

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3.4: Section Derivatives of Trigonometric Functions Differentiate: Differentiate: Differentiate:

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Section 4.2

GWU - MATH - 032

Section 4.2: The Mean Value Theorem Rolle's Theorem. Let f be a function which is differentiable on the closed interval [a, b]. If f(a) = f(b) then there exists a point c in (a, b) such that f '(c) = 0. Mean Value Theorem. Let f be a function which is dif

Section 4.3

GWU - MATH - 032

Section 4.3: How Derivatives Affect the Shape of a Graph 1. If the first derivative f' is positive (+) , then the function f is increasing ( ) . 2. If the first derivative f' is negative (-) , then the function f is decreasing (). 3. If the second derivat

Section 4.4

GWU - MATH - 032

Section 4.4: Limits at Infinity; Horizontal Asymptotes LIMITS OF FUNCTIONS AS X APPROACHES INFINITY These indeterminate forms can be circumvented by using algebraic manipulation. Compute: == = Compute:= = = Compute:

Section 5.4

GWU - MATH - 032

Section 5-4: Indefinite Integrals and the Total Change Theorem An antiderivative of a function f(x) is just a function whose derivative is f(x).Example: Since the derivative of x2+4 is 2x, an antiderivative of 2x is x2+4. Since the derivative of x2+30 is

Section 6.1

GWU - MATH - 032

Section 6-1: Areas Between Curves Find the area A between the curves y = 1 + x2 y=3+x Sketch the area and find points of intersection We sketch the area to be calculated by sketching the two curves and finding their points of intersection M and N. To find

Section 5.5

GWU - MATH - 032

Section 5-5: The Substitution RuleExample:Example:u = x2+2x+3du = (2x+2) dx= eu+ C = e x2+2x+3 + CExample:u = x3+3x du = (3x2+3) dx = 3(x2+1) dx (1/3) du = (x2+1) dx

school uniforms burns

Georgia State - ENGLISH - 1101

Williams1 Allen Williams Dr. Burns English 1101 11/11/10 Benefits of School Uniforms Many students across the country would argue for endless hours in order to prevent a mandatory dress code on school campuses. They state that it prohibits selfexpression

burns english article aw (1)

Georgia State - ENGLISH - 1101

Allen Williams 10/8/10 Mr. Burns English Article Cleanliness has been something incorporated into our society as godly. Our culture looks down on the hippies or unclean people that choose to live this way in our society. Recently people have covered up th

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