1) When would the limit as x approaches -infinity change the sign of the problem? a) When the numerator has more power b) When the denominator has more power c) When there is a square root in the denominator d) When you have to use L'Hopitals Rule 2) d/dx (75x) = 75x(5) What is this problem missing to multiply by? a) e5x b) 5x c) log75x d) ln7 3) What are the steps to proving continuity? a) 1. f(x)  2. limxappx- limxappx+ 3. f(x) = or doesn't = lim =  b) 1. Limx 2. limxappx- limxappx+ 3. f(x) = or doesn't = lim c) f'(x) doesn't = Lim, or f'(x) = Lim 4) What rules are in this question? (3x)(4x2 + 5/ 2x + 3)4 a) Product and L'Hopital b) Quotient and Product c) Chain and Quotient and L'Hopital d) Chain and Quotient and Product 5) find d/dx as x = 0:  sin3x - sin22x a) 3 b) 1 c) DNE d) 0 6) d/dx arctan4x2 = ? a) 8x/1+16x4 b) 8/1-16x2 c) 8/16x4 - 1 d) 8x/1+16x2 7) d/dx ln(x2-5) = ? a) 1/x2 - 5 b) (x2 - 5)-2 c) 1/(x2-5)-1 d) 1/(x2 - 5)ln10 8) When implicitly solving in calculus, what are you trying to find a) dx/dy b) d/dx c) dx/dt d) dy/dx 9) f is con up when a) f ' is inc b) f" is inc c) f is dec d) f is inc 10) fPoI = ? a) when f' changes from inc to dec etc b) when f changes direction c) when f ' changes from + to - ect. d) when f" is + or -

Calculus Reveiw

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