Calculus I Quiz 5: Finding Derivatives and Tangent Lines, Exercises of Calculus

Calculus i quiz 5 from spring 2002. The quiz covers finding derivatives (dy/dx) for various functions, including polynomial, exponential, and radical functions. It also includes a problem on finding the equation of the tangent line to the curve y = x + √x at the point (1, 2).

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2012/2013

Uploaded on 03/31/2013

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MA125 CALCULUS I SPRING 2002
February 2002 QUIZ 5 Jellett
SCORE
NAME:..........................................
/20
1. In the following, find dy
dx :
(i) y=x3
3x
(ii) y= 3x7
7x3+ 21x2
(iii) y=x2(x3
1)
(iv) y=4x
5
2
(v) y= 3ex+4
x
5
x2
(vi) y=3
x2+ 3x3
(vii) y= 32π
2. Find an equation of the tangent line to the curve y=x+xat the point (1,2).

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MA125 CALCULUS I SPRING 2002

February 2002 QUIZ 5 Jellett

SCORE

NAME:..........................................

  1. In the following, find dy dx :

(i) y =

x^3

3

− x

(ii) y = 3x 7 − 7 x 3

  • 21x 2

(iii) y = x^2 (x^3 − 1)

(iv) y = − 4 x

− 5 2

(v) y = 3e x

x

x^2

(vi) y =

x^2 + 3

x^3

(vii) y = 3

2 π

  1. Find an equation of the tangent line to the curve y = x +

x at the point (1, 2).