Find and simplify the diﬀerence quotient for the given function.
f(x)= x^2+2x1
I need to know how to set up the equations and simplify everything when dividing by h at the end.
 👍
 👎
 👁
 ℹ️
 🚩
2 answers

I have seen the difference quotients defined as
(f(x+h)  f(x) / h
in your case:
( (x+h)^2 + 2(x+h)  1  (x^2 + 2x  1))/h
= ( x^2  2hx  h^2 + 2x + 2h  1 + x^2  2x + 1)/h
= (2hx  h^2 + 2h)/h
= 2x  h + 2 , h ≠ 0 👍
 👎
 ℹ️
 🚩

Found my error! Thank you! 2xh i wans't carrying that in when distributing
 👍
 👎
 ℹ️
 🚩
Answer this Question
Related Questions

Algebra Answer Check
What is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? 6 a.  5y 6 b.  (?) 5+y c. 6(5+y) d. 6/5 + 6y What is the algebraic expression for the following word phrase: the quotient of j and 8? a.

Calculus 1
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 5. (Round your answers to two decimal places.) f(t) = t^−1 − t *We havent learned derivative

math
#1 1/3*7 find the product. your answer should be in the simplest form #2 7/9x3/5 find the product. your answer should be in the simplest form #3 1/3 / 5/6 find the quotient your answer should be in the simplest form #4 2*1/8 / 34 find the quotient your

Algebra
My answer *** What is the product of (–6.8)2? a. –13.6 b. 46.24*** c. –46.24 d. 13.6 2. Simplify the expression  Square root 196 . a. 98 b. –14*** c. 14 d. 392 3. Simplify the expression square root 100/49 . a. 10/7 b. 17*** c. 5/7 d. 20/7 4. Find

algebra
1. write an algebraic expression for the word phrase: the quotient of r and 12 a.r * 12 b.r/12**** c.r12 2. write a word phrase for the algebraic expression: 2t  9 a.nine fewer than two times a number t***** b.nine fewer than two times a number t c.nine

Algebra
Please check all of my answers and tell me if they are right. 1. What is the simplified form of the following expression? 7m^2 + 6.5n – 4n + 2.5m^2 – n (1 point) A. 9.5m^2 + 1.5n*** B. 4.5m^2 + 1.5n C. 1.5m^2 – 4.2n D. 9.5m^2 – 1.5n 2. Simplify the

Math
1. What is the simplified form of the expression? 2x2 + 4y + 3x2 – 2y + 3y (1 point) 5x4 + 5y2 5x2y + 5x2y 5x2 + 5y 10x2y 2. Simplify the following expression: 2(6x + 18) (1 point) –12x + 36 8x + 20 6x + 36 12x + 36 3. What is the product? 4 • (–5)

precalculas
Let f(x) be the function 8x^25x+2 . Then the quotient [f(5+h)(5)]/h can be simplified to ah+b for: a= b=

Math (Translate each sentance into a equation)
1. The difference between three times a number and 11 is 10. Whould it be: 3x  11 = 10? 2. One more than the difference between 18 and seven times a number is 9. Would it be: 1 + 18  7x = 9? 3. 26 more than the product of a number and 17 is 42. Would

precalculas
Let f(x) be the function 1/[x+12] . Then the quotient [f(4+h)f(4)]/h can be simplified to for: 1/[ah+b] a= b=

MATH 9 th grade
The difference of 22 and the quotient of a number m and 4 is 54 ?

Calculus
Let f(x)=1/x. Compute the difference quotient for f(x) at x=1 with h=0.3 I know that the formula for difference quotient is (f(x+h)f(x))/h, but I am not sure how I am supposed to plug this in. I have tried a few ways but webworks says that the answer is

math
given the function f(x) = 2x^23x1 simplify f((x+h)f(x))/h

Algebra
Find the algebraic expression. Quotient of 8 and the difference of x and m My answer is 8/xm

Algebrahelp
1. What is the Algebraic expression for the following word phrase: the quotient of 8 and the difference of x and m? 8/xm * 8x/m xm/8 8x/m 2.Which sum of difference is equivalent to the following expression? 53x/5? 1+3/5 1+3x/5 13x/5 * 2515x * is my

mathematics
find and simplify the difference quotient of f(x) = √3x

computers
I require an algorithm that will receive two integer items from a terminal operator, and display to the screen their sum, difference, product and quotient How to do that?

math
write each expression using n as your variable.then simplify fully. 1.five more than the sum of a number and ten. 2.the product of eight and seven less than a number. 3.the quotient of a number and three, increased by one. 4.ten less than the product of

Algebra
Find the difference quotient and simplify your answer. Step by step. f(x) = 3x2 − 6x, f(x + h) − f(x) h , h �‚ 0

calculus
Which of the following statements is true for the series the summation from n equals 0 to infinity of the nth power of the quotient of pi and e? A. Converges to the quotient of e and the quantity e minus pi B. Converges to the quotient of the quantity e
Still need help?
You can ask a new question or browse existing questions.