







A difference quotient 
20150112 

From Sasha: Simplify the difference quotient
f(x) − f(a)/ xa
if x ≠ a.
f(x) = x^3 − 12
Answered by Penny Nom. 





An algebraic exercise 
20130318 

From autumn: given: f(x)=x/(x^2+2) determine: [f(xh)f(x)]/h Answered by Penny Nom. 





Difference quotient 
20100726 

From Brandon: i'm trying to figure out how to use the difference quotient with x^3, i have tried the following...(x+h)^2*(x+h)(x+h)/h and i have only gotten as far as...(x^2+2xh+h^2)(x+h)/h....i cannot see where i am goin astray, i know i am overlooking something simple, what am i overlooking? Answered by Penny Nom. 





Dividing a number which is greater than 1 by a number that is less than 1 
20100105 

From Neda: when dividing a number which is greater than 1 by a number that is less than 1, will the quotient be greater than or less than the dividend? Explain. Answered by Robert Dawson and Penny Nom. 





Quotient 
20090914 

From Jala: What is a quotient and what are the instructions for one? Answered by Penny Nom. 





A difference quotient 
20090617 

From Sue: When s(x)=x^3+x, compute and simplify the difference quotient s(x+h)s(x)/h. Answered by Harley Weston. 





The quotient of 5/8 divided by7/4 
20090525 

From tammy: find the quotient of 5/8 divided by7/4 Answered by Stephen La Rocque. 





The difference quotient (f(x+h)f(x))/h 
20090126 

From helen: Find the difference quotient of f, f(x+h)f(x)/h, h does not equal 0, for this function. Be sure to simplify. that is, find f(x)=x^2x+4 Answered by Robert Dawson. 





Finding an Unknown Integer Given Quotients and Remainders 
20081205 

From Mark: What is the least positive integer meeting each of the following conditions?
Dividing by 7 gives a remainder of 4.
Dividing by 8 gives a remainder of 5.
Dividing by 9 gives a remainder of 6. Answered by Janice Cotcher. 





Compatible numbers 
20081030 

From Paul: Use compatible numbers to estimate the quotient of 23.52 and 11.04 Answered by Penny Nom. 





Concavity and the second derivative 
20081015 

From Christina: I'm having trouble solving for a second derivative for the following graphing question.
f(x) = (X^2+2x+4)/2x
using the quotient rule, I found:
f'(x) = (x^24)/(2x^2)
however, using the quotient rule again I can't seem to solve it (concavity):
f'''(x)=[(2x)(2x^2)(x^24)(4x)]/[(2x^2)^2]
f''(x)=[(4x^3(4x^3 16x)]/4x^4
f''(x)=16x/4x^4
f''(x)=4/x^3
and making the equation equal to zero result in 0=4 which doesn't seem to make sense... Answered by Penny Nom. 





Ordering fractions 
20080825 

From Ghita: Order these distances from least to greatest
1/2 , 5/8 , 3/4
What is a quotient?
Ghita Answered by Penny Nom. 





[f(x)f(1)]/(x1) 
20080814 

From katie: Evaluate (if possible) the function of the given value of the independent
variable:
f(x)=(x^3)x:
[f(x)f(1)]/(x1) Answered by Penny Nom. 





A difference quotient 
20080710 

From Rita: Find the difference quotient of f, that is, find [f (x + h)  f (x)]/h, where
h does not = 0 for the given function. Be sure to simplify.
f(x) = 1/(x + 3) Answered by Janice Cotcher. 





The sign of the quotient of two integers 
20080201 

From michelle: without actually dividing, how can you decide whether the quotient of two integers is A. positive B. negative C. 0? Answered by Penny Nom. 





Quotient of proper fractions 
20070906 

From Tim: The question asks me to find a counter example for:
the quotient of 2 proper fractions is a proper fraction Answered by Stephen La Rocque. 





The quotient of two integers 
20070321 

From Sarah: Without actually dividing, how can you decide whether the quotient of two integers is positive, negative, or 0. Answered by Penny Nom. 





The quotient of 50 and a number is 2. 
20060817 

From Thomas: The quotient of 50 and a number is 2. Is 2 the quotient , 50 the dividend and 25 the divisor? Answered by Stephen La Rocque. 





Isoperimetric quotients 
20060707 

From Jessica: How do you work out an algebraic equation for the IQ of an isosceles triangle. Answered by Penny Nom. 





The Isoperimetric Quotient 
20060207 

From Ceri: I am studying Isoperimetric Quotient as part of my mathematics course and have been told that the only shape with an I.Q of 1 is the circle but when I work out the I.Q of a million sided regular polygon, the answer always comes out as 1. My teacher insists it is the just the calculator rounding things up, but I have tried loads of calculators and it always comes out as 1. Can you solve my conundrum? Answered by Penny Nom. 





Division names 
20030310 

From A parent: what is the answer to a division problem called Answered by Penny Nom. 





Isoperimetric quotients 
20020102 

From A student: I'm stuck on my GCSE Maths coursework, what do isoperimetric quotients measure? Answered by Penny Nom. 





Dividing with decimals 
20001115 

From Alex: I teach math and my class and I were discussing the dividing of decimals. I explained that if there is a decimal in the divisor, it needs to be moved and so does the decimal in the dividend. My question is why is it necessary to move the decimal point in the divisor before dividing? Answered by Penny Nom. 





The quotient rule 
20000221 

From Charlene Anderson: Question: I came across a question in our book that states: Let Q(x) = N(x) / D(x) Then rewrite Q(x) in a form that can utilize the Power and Product Rules. Use this rearranged form to derive the Quotient Rule. The Quotient Rule can be derived from the Power Rule and the Product Rule. One must also use the chain rule too, right? Answered by Harley Weston. 





Quotients 
19990225 

From Brian Healey: what is a quotient? what is a divisor? what is a divident? Answered by Jack LeSage.


