Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y = [In(x2 + 2)³]?,the derivative 36x In(x² +2) -36x In(x+2) b) (x2 +2) (x2+2) 36x in(x +2) d) 36x In(x+2) (x2+2) (x2+2) 2) If y = 1+ and t = find the derivative at x=1 1+x a) -1 b) 2 c) -2 d) 1

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Q2: Choose the correct answer
between brackets for the following:
(answer five only)
1) If y = [In(x? + 2)312, the derivative ()
-36x In(x +2)
a)
-36x In(x +2)2
b)
(x? +2)
(x +2)
36x In(x +2)
c)
36x In(x² +2)
d)
(x2 +2)
(x2 +2)
2) If y = 1+
find the derivative (Y
and t =
at x=1
a) -1
b) 2
c) -2
d) 1
3x + 2
3)
3x +1
dx
a) x +In|3x + 1|+c
b) x+ 3ln|3x + 1| +c
c) x
In|3x + 1|+c
d) x- 3ln|3x + 1| +c
4) If y = sin-13x2.cos-13x2 the derivative (dy
6xJsin 3x -cos13x1
a)
V1-9
6x[-sin 13x -cos 13x ]
b)
V1-9x4
6x[cos"13x + sin133
c)
V1-9,4
6x[cos3x-sin13
d)
V1-9x4
5)
x. sec?x dx =
a) x tanx - In|cosx] + c
c) tanx – Injcosx| +c
b) x tanx + In|cosx| + c
d) tanx + In cosx|+ c
6) If f(x, y) = x?y3 + 3x? – 3x, the second partial derivative
b) 6x y?
laxoy)
d) 6x y
a) 3x²y?
с) бху?
Transcribed Image Text:Q2: Choose the correct answer between brackets for the following: (answer five only) 1) If y = [In(x? + 2)312, the derivative () -36x In(x +2) a) -36x In(x +2)2 b) (x? +2) (x +2) 36x In(x +2) c) 36x In(x² +2) d) (x2 +2) (x2 +2) 2) If y = 1+ find the derivative (Y and t = at x=1 a) -1 b) 2 c) -2 d) 1 3x + 2 3) 3x +1 dx a) x +In|3x + 1|+c b) x+ 3ln|3x + 1| +c c) x In|3x + 1|+c d) x- 3ln|3x + 1| +c 4) If y = sin-13x2.cos-13x2 the derivative (dy 6xJsin 3x -cos13x1 a) V1-9 6x[-sin 13x -cos 13x ] b) V1-9x4 6x[cos"13x + sin133 c) V1-9,4 6x[cos3x-sin13 d) V1-9x4 5) x. sec?x dx = a) x tanx - In|cosx] + c c) tanx – Injcosx| +c b) x tanx + In|cosx| + c d) tanx + In cosx|+ c 6) If f(x, y) = x?y3 + 3x? – 3x, the second partial derivative b) 6x y? laxoy) d) 6x y a) 3x²y? с) бху?
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