MATH 121 Lecture : MATH130_ALL-SECTIONS_SPRING2012_MID_SOL_2

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9 Jan 2019
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1. a. (12 points) determine the equation of the line tangent to xg. 6 x slope-intercept form (y = mx + b). Evaluate g to find a point, then solve for b: g. 32= x as an exponential function in the form y = kxe. , then use this form to find the first derivative. 2. a. (10 points) find the first derivative of xf. 12 +e is a number, not a function, and therefore comes under the constant multiple rule. e xf. 2. b. (12 points) find the equation of the line tangent to xf cos. You must show all of your steps for this one. So the tangent is a horizontal line, with equation y = a number . Evaluate f to find a point: sin cos sin. 2. c. (12 points) determine the x-values where y ln 2 + x. 1 x = 1 1 < x < 1 x = 1 x > 1.

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