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Material Type: Exam; Class: Calculus for Engineers I; Subject: Mathematics; University: Arizona State University - Tempe; Term: Unknown 1989;
Typology: Exams
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Find the derivative
dy
dx
of each of the following functions.
2
y 5 x 5 x
x
50 2
y 17 x 5 x
2 2
2
x
y x
3
y cos x
2
tan
x
y
x
2
sin
x
y x e
4 5 y (3 x 2)
x x
y
2
ln
y x x
sin (2 )
cos (2 )
x
y
x
2
y x tan
x
2
2 xy y x y
x
y
x
3
cos
1 sin
x
y
x
3 2
y sin (3 x 2 x 1)
2 1
y (1 x ) tan x
y sin x
y ( ax ) tan ( bx ) ( a and b constant)
2
y
x
1 2
y sin (3 x )
y ln(cos( )) x
y x (ln( ) x x )
3 1
2 5 y 6 x 7 x 1
9
y 3 cos(5 x ) 3sin( x )
7
5 3
x
y x
1
y tan (6 x )
2
y 2 x
x
1 1
y 2 cos x 4sec x
x
y x
x
y e
2 2
sin x cos x
y
x
2
sin x
y
x
2
y tan(sin x )
2
2 y x sin y
2
sin(3 )
x
y e x
