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by: Miss Johan Jacobson


Miss Johan Jacobson
GPA 3.6


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Class Notes
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This 2 page Class Notes was uploaded by Miss Johan Jacobson on Monday October 19, 2015. The Class Notes belongs to MTH 251 at Oregon State University taught by Staff in Fall. Since its upload, it has received 6 views. For similar materials see /class/224444/mth-251-oregon-state-university in Mathematics (M) at Oregon State University.




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Date Created: 10/19/15
Mth 251 Differential Calculus Bent E Petersen 20080131 This note reviews a few differentiation formulae and then provides a number of sample problems with answers Review In the formulae below f and g are differentiable functions and a b and n are constants Note logx 1nx and logex all mean the natural logarithm of x Here e is Euler s number e 2718281828459045235 For the logarithm base 10 we will use 10g10x gamer fxgx 5 elfx WW I gxg x nxykl cf 10ga a gt 0613 1 7 bgt0b7 1 The problems Problem 1 Problem 2 Problem 3 log1equot d exzi x d Wequot Problem 4 equot sinx Problem 5 sin1x Problem 6 ifgzixj34 Problem 7 98 3x450 Problem 8 x sinlogx Problem 9 2x310x728 Problem 10 fgx xz l and fx x23x4 then compute fogx Next compute 2x3 3x272x1 the derivative directly and also by using the chain rule tan 3t Problem 11 ling E Hint Express limit as a derivative H Problem 12 10ch2 1 Problem 13 54126 Problem 14 1 x arctanx 7 10gx2 1 Problem 15 1 arcsinx2 The answers Answer 1 1L Answer 2 2 x1 exit Answer 3 xquot logx 1 Answer 4 equot cosx sinx Answer 5 Answer 6 M x22x32 Answer 7 502x3 x2 3x449 Answer 8 cos10gx sin10gx Answer 9 49x742x39x727 x48x3 30x249x28 7 2x618x5 51x436x3775x27144x770 Answer 10 M2X379x24x18 The derivative Is 11 MJFZXLWMXHW Answer 11 3 2x Answer 12 m Answer 13 2xlog2equot22 2 Answer 14 arctanx 2x Answer 15 HA


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