Warning: Use of undefined constant referer - assumed 'referer' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 102

Warning: Use of undefined constant host - assumed 'host' (this will throw an Error in a future version of PHP) in /usr/home/essaywo/public_html/essays on line 105

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 106

Warning: Cannot modify header information - headers already sent by (output started at /usr/home/essaywo/public_html/essays:102) in /usr/home/essaywo/public_html/essays on line 109
Derivatives - College Paper

Derivatives

1.6 Topics: Using basic differentiation rules. SOLUTIONS

Use the rules of differentiation to find the derivatives. Hint: Rewrite #5 - 7 before differentiating.

1. 2. 3. 4.

5. 6. 7. 8.

9. What is the equation of the line tangent to at the point?

10. At what point(s) will have a horizontal tangent line?

To solve this problem we will take the derivative and set it equal to zero (a horizontal tangent line will have a slope equal to zero).

Note: To get the "y" values for the points just substitute the "x" values into the original equation

11. If what is the relationship between the derivative of and the ...

Want to read the rest of this paper?
Join Essayworld today to view this entire essay
and over 50,000 other term papers

rule we know that the derivative of will be times the derivative of .

From a graphical perspective, if then the graph of is a reflection of the graph of about the x - axis and stretched vertically by a factor of three. So for any particular x value, the slope of the tangent line at x on the graph of

will be - 3 times what it was at the same x value on the graph of .

For a free falling object gives the position (in feet) of an object with initial velocity (in feet per second) and initial position where is time (in seconds).

A ball is thrown straight down from the top of a 220 foot building with an initial speed of 22 feet per second.

(Any answers that are not exact please round to two decimal places).

13. What is the velocity of the ball after three seconds?

14. What is it's velocity after falling 108 feet?

To solve this just set the position (s(t)) equal to 108 ft to find out WHEN (what time) this occurs then evaluate v(t) at this value of ...

Get instant access to over 50,000 essays.
Write better papers. Get better grades.

Already a member? Login

CITE THIS PAGE:

APA
MLA
Chicago
Turabian

Derivatives. (2017, May 3). Retrieved January 7, 2026, from http://www.essayworld.com/essays/Derivatives/106261

"Derivatives." Essayworld.com. Essayworld.com, 3 May. 2017. Web. 7 Jan. 2026. <http://www.essayworld.com/essays/Derivatives/106261>

"Derivatives." Essayworld.com. May 3, 2017. Accessed January 7, 2026. http://www.essayworld.com/essays/Derivatives/106261.

JOIN NOW

Join today and get instant access to this and 50,000+ other essays

PAPER DETAILS

Added: 5/3/2017 08:37:16 PM
Submitted By: senioritis
Category: Education
Type: Free Paper
Words: 558
Pages: 3

Save |

Report

SHARE THIS PAPER

SAVED ESSAYS

Save and find your favorite essays easier