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Lesson 1 Quiz: Differentiation of Trigonometric, Exponential and Logarithmic Functions

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1.
The slope of the tangent to the curve y = (x + 1)/(x - 1) at x = 2 is:
2
-1
3
-2
2.
The sum of all coefficients in the expansion of \((3x - 2y)^7\) is equal to:
A) 1
C) 0
D) 128
B) \(5^7\)
3.
The volume of the solid generated by revolving the region bounded by \(y = \sqrt{x}\), \(y = 0\), and \(x = 4\) about the x-axis is:
A) $4pi$
C) $16pi$
D) $32pi$
B) $8pi$
4.
When using integration by parts on \(\int x \ln x\, dx\), according to the LIATE rule, the choice for \(u\) should be:
C) $x ln x$
B) $ln x$
A) \(x\)
D) \(dx\)
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