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```									Quiz Number 41                    Name:                                     Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x7
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  31e x  12 x e  e27 . Find       .
dx

4          dy
3.    Let y  8x 2 x 3 . Find       .
dx

4.    What is the slope of the line tangent to y  x 7  9 x 6 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  x 7  9 x 6 at the point where x = 2.
Quiz Number 41                     Name:                                   Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x5
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  23e x  32 xe  e30 . Find        .
dx

5           dy
5.    Let y  5x 2 x 3 . Find        .
dx

6.    What is the slope of the line tangent to y  x8  9 x 7 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  x8  9 x 7 at the point where x = 2.
Quiz Number 41                     Name:                                  Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x8
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  19e x  21x e  e17 . Find        .
dx

7           dy
7.    Let y  7 x 2 x 3 . Find       .
dx

8.    What is the slope of the line tangent to y  x8  10x7 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  x8  10x7 at the point where x = 2.
Quiz Number 41                    Name:                                    Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x4
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  15e x  41x e  e27 . Find        .
dx

3           dy
9.    Let y  9 x 2 x 2 . Find       .
dx

10.   What is the slope of the line tangent to y  2 x8  7 x 7 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  2 x8  7 x 7 at the point where x = 2.
Quiz Number 41                     Name:                                    Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x3
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  25e x  11x e  e17 . Find        .
dx

6           dy
11.   Let y  9 x 2 x5 . Find        .
dx

12.   What is the slope of the line tangent to y  2 x 7  7 x 6 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  2 x 7  7 x 6 at the point where x = 2.
Quiz Number 41                     Name:                                  Date:

Today’s Calculus Tip:

An exponential function is a function of the form f ( x)  ka x , where a  0, k  0, and a  1 .
A power function is a function of the form f ( x)  kx a , where k , a  0 . Exponential functions
grow faster than power functions. The two should not be confused.

x6
1.    Let f ( x )        . Find f (16) .
x

dy
2.    Let y  15e x  17 x e  e19 . Find       .
dx

6          dy
13.   Let y  3x 2 x5 . Find        .
dx

14.   What is the slope of the line tangent to y  3x7  11x6 at the point where x = 2 ?

5.    Find an equation of the line tangent to y  3x7  11x6 at the point where x = 2.

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