Lecture Note
Find the Derivative
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University
California State University Course
MATH 150B | Calculus IIPages
1
Academic year
2023
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Annisa Fitri
Views
0
p {margin: 0; padding: 0;} Date Find the Derivative Find the derivate of the following functions 1) y = x t Inx 'y' = I +1 2) y=e" sin X :Y' = e Sinx ee cost = ex( sin x + (osx) 3) Y. 2x : Y' = 2 (x'+1) -2x.2x = 1-2x2 X2+1 (x241)2 (x241)2 4) Y. 3 s XH : Y' = 2x 3 2x 3'V64+1)2 5) y= (n2x : Y' = I 2 Inx = 21nx x 6) y=5n + tan (3x) : Y' = 5x4 Ins l2x) + 3 (1+tan2 3x) The last rule is called the chain rule which should be applied for composite functions such as the above functions but it can be extended to include mor functions If y flu) and 4=g(2) and 2: h(l) and Lok(x) then y depends on x but through some other variables Y =F [9(h(k(x)))]
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Find the Derivative
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