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CUNY York College
MAT
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MAT 103 | Calculus I
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8
Popular Documents from CUNY York College
Warmup If () = 5 4 means ′ () = 20 3 , then what is lim ℎ→0 5(3 + ℎ) 4 − 5(3 4 ) ℎ fq x f G lismf dd x 7 17 16 O f 421 17.216 O f 3 f 3 20.33 5406 Chapter 3 – Short-cuts to Differentiation 3.1 – Powers and Polynomials Review rules/short-cuts l
Warmup for 4.1.1 – do this on the board 1. If 3 2 + 2 + 2 = 2, then the value of at =1 is A. −2 B. 0 C. 2 D. 4 E. not defined Warmup for 4.1.2 – do this on the board 2. Let be the function given by () = 3 − 3 2 . What are all value
Warmup 1. Solve the initial value problem. = 4 a. Condition: When = 0, = 4 b. Condition: When = 0, = −6 dy x4ydx ft ydy fx.dk a h 4 te h 4 c butyl to µ yl 5th4 x5 5 1C x th4 lyl e lyl e y1 e e ly e eh4 y e ec Let K Iec 1yl e 4 g K e
Warmup 1. Given = arctan( 2 ) determine . 2. If ℎ() = ( () ) 4 determine ℎ ′ (3) given (3) = 2 and ′ (3) = 5. 4 h X 4 f f x h 3 4G GD f 3 CT 4 2 3 5 20 8 We will know: Implicit functions We will understand: Shortcuts, when they are
Warmup Find the derivative function. Note: number 1 is easy enough to simplify after you have taken the derivative, but do not worry about trying to simplify number 2 1. = 2 (3 5 − 4 2 ) 2. () = 2 + 5 + 3 d dd 2 3 5 4 2 12 1,13 5.4 2