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# TMA4/MTH102 – Elementary Mathematics II

TMA Quiz Questions
TMA: TMA4/MTH102
Matric Number:  SCORE 9.00
MTH102 – Elementary Mathematics II
Mr. Olorunnishola Toyin (Tolorunishola@noun.edu.ng )
1 Differentiate the following with respect to x :

(6x53x42x3)(6×5−3×4−2×3)
 30x4−12x3−6x230×4−12×3−6×2 (6x4−3x3−2x2)(6×4−3×3−2×2) 3x3−2x23×3−2×2 6x4−3x26×4−3×2
2 Find ddxof(2x+7)(x9)ddxof(2x+7)(x−9)
 4x -11 7x 2x-9 7x-2
3 Differentiate with respect to

x:xnx:xn
 nxnnxn nx(n−1)nx(n−1) x2x2 nx(n+1)nx(n+1)
4 Find the equation of the tangent to the graph of y=

x2+x2x2+x−2

at a point (1,2) .

 3 1 4 2
5 Find

ddxof(sinx)ddxof(sinx)
 coshx sinx tanx cosx
6 Find the integral with respect to

x:cosxsinxdxx:∫cosxsinxdx
 “sin2x2+c“sin2x2+c sin2x+csin2x+c cos2x+ccos2x+c sinx
7 Find the integral with respect to

x:(exx)(ex1)dxx:∫(exx)(ex1)dx
 (ex+x)33+c(ex+x)33+c x3+ex3x3+ex3 3x ex+3xex+3x
8 Integrate with respect to x :

21x2(x3+4)2dx∫−12×2(x3+4)2dx
 12 1212 6 512512
9 Integrate with respect to x :

31x7+x2−−−−−√dx∫−13×7+x2dx
 22√22 42√42 4−22√4−22 2√2
10 Integrate with respect to x :

41x+1xdx∫14x+1xdx
 203203 20 320320 -20
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