Difference between revisions of "009A Sample Midterm 2"

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<span class="exam">(c) &nbsp; <math style="vertical-align: -18px">h(x)=\frac{(5x^2+7x)^3}{\ln(x^2+1)} </math>
 
<span class="exam">(c) &nbsp; <math style="vertical-align: -18px">h(x)=\frac{(5x^2+7x)^3}{\ln(x^2+1)} </math>
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'''Contributions to this page were made by [[Contributors|Kayla Murray]]'''

Revision as of 07:56, 20 April 2017

This is a sample, and is meant to represent the material usually covered in Math 9A for the midterm. An actual test may or may not be similar.

Click on the  boxed problem numbers  to go to a solution.

 Problem 1 

Evaluate the following limits.

(a) Find  

(b) Find  

(c) Evaluate  

 Problem 2 

The function    is a polynomial and therefore continuous everywhere.

(a) State the Intermediate Value Theorem.

(b) Use the Intermediate Value Theorem to show that    has a zero in the interval  

 Problem 3 

Use the definition of the derivative to find     for the function  

 Problem 4 

Find the derivatives of the following functions. Do not simplify.

(a)  

(b)     where  

 Problem 5 

Find the derivatives of the following functions. Do not simplify.

(a)  

(b)  

(c)  


Contributions to this page were made by Kayla Murray