MATH 1225 Study Guide - Midterm Guide: Power Rule

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Honor pledge: i have neither given nor received aid on this exam. Circle only one answer choice. f (x) f (0) x (a) lim x 0 (b) 1 (c) lim h 0 eh. 1 h (d) answer choices (a), (b), and (c) are all correct: the velocity of a particle at time t is given by the graph below, y = v(t). Circle only one answer choice. y = v(t) 3 (a) the particle is speeding up on (2, 3). (c) the particle is at rest on (8, ). (b) the particle is speeding up on (6, 8). (d) the particle is slowing down on (0, 1). 12 (a) (4 pts) let h(x) = g(x) + 2x3 + x. Justify your answer with work. (b) (4 pts) let k(x) = g(cid:18)f (x) + 1(cid:19). Justify your answer with work: (6 pts) calculate lim x 0(cid:18) sin(3x) cos(5x) 4: (25 pts) compute the indicated derivatives.