Worksheet 2.9 - Derivatives Of Exponential Functions With Answers Page 2
ADVERTISEMENT
1
2
3
4
5
6Calculus Maximus
WS 2.9: Derivs of Exp Functs
2
⎛
⎞
d y
2
x
=
10. Find
for
y
2sin 4
⎜
⎟
2
⎝
⎠
dx
−
=
x
11. (Calculator permitted) Find the point of the graph of
y e
where the normal line to the curve passes
through the origin. (Hint: write two different expressions for the slope of the normal line in terms of x,
equate the two expressions, then solve for x. A sketch would help also.)
12. (Calculator permitted) Compare each of the following numbers with the number e. Is the number less
⋅ ⋅ ⋅ ⋅ . The factorial
than or greater than e? BTW: 5! is read as “5 factorial” and is equal to 5 4 3 2 1
button is found on your TI calculator under “MATH,” “PRB,” “#4.”
1,000,000
⎛
⎞
1
1
1
1
1
1
1
1
+
+
+
+
+
+
+
(a)
(b)
1
⎜
⎟
1, 000, 000
0! 1! 2! 3! 4! 5! 6!
⎝
⎠
Page 2 of 6
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education