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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)

30x412x36x230×4−12×3−6×2

(6x43x32x2)(6×4−3×3−2×2)

3x32x23×3−2×2

6x43x26×4−3×2
2 Find ddxof(2x+7)(x9)ddxof(2x+7)(x−9)
3 Differentiate with respect to

x:xnx:xn

nxnnxn

nx(n1)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) .

5 Find

ddxof(sinx)ddxof(sinx)
6 Find the integral with respect to

x:cosxsinxdxx:∫cosxsinxdx

sin2x2+c“sin2x2+c

sin2x+csin2x+c

cos2x+ccos2x+c
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

ex+3xex+3x
8 Integrate with respect to x :

21x2(x3+4)2dx∫−12×2(x3+4)2dx

1212

512512
9 Integrate with respect to x :

31x7+x2−−−−−√dx∫−13×7+x2dx

2222

4242

4224−22

22
10 Integrate with respect to x :

41x+1xdx∫14x+1xdx

203203

320320
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