SOLUTION: How do you solve functions like these?
f(x) = x3
f(x + Δx) − f(x)
Δx
(Δx ≠ 0)
Algebra.Com
Question 1093784: How do you solve functions like these?
f(x) = x3
f(x + Δx) − f(x)
Δx
(Δx ≠ 0)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do you solve functions like these?
f(x) = x^3
f(x + Δx) − f(x) = x^3+3x^2*dx+3x*(dx)^2+(dx)^3 - x^3
Δx
----
Divide the difference by dx to get::
= [3x^2*dx + 3x*(dx)^2 + (dx)^3]/dx = 3x^2 + 3x(dx) + (dx)^2)
(Δx ≠ 0)
------
If you now take the limit as x approaches zero you get::
= 3x^2
===========
Cheers,
Stan H.
------------
RELATED QUESTIONS
Find the difference quotient and simplify your answer.
F(x)=5x-x^2,... (answered by stanbon)
How do I graph a line that has Δy = 3 and Δx =... (answered by Alan3354)
2. Suppose y=100-5x and z=x(y-1)
Δy/Δx=?
∂z/∂x=?... (answered by Edwin McCravy)
The function f(x)=6(1.3)x is an exponential function.
Determine the value of the ratio... (answered by Alan3354)
For P=(5,2) and Q=(7,-11), Δx, Δy, and the slope of the line segment from P to... (answered by ikleyn)
A line has slope –5/2. For each horizontal change Δx given below, find the vertical... (answered by Alan3354)
HELPP! Using the Δ definition, show that the derivative of any linear function f(x) (answered by Theo)
x^2-4x-21=0
we must find Δ in oder to know in which conditions this equation must... (answered by checkley77,cheikoda)
How do these functions look graphed
f(x+2)
f(x-5)
f(-x)
-f(x)
f(x-1)+6 (answered by Alan3354)