# calculus

posted by .

f*(x) = lim as h -> 0 [f(x+h)-f(x-h)]/ h

write an equation that expresses the relationship between the functions f*(x) and f`

I know that f` is [f(x+h)-f(x)]/h but i have no clue how to write an equation to relate the two!!!

• calculus -

f(x+h)-f(x-h) =

f(x+h) - f(x) + f(x) - f(x-h)

lim as h -> 0 [f(x+h)-f(x-h)]/ h =

lim as h -> 0 [f(x+h)-f(x)]/ h +

lim as h -> 0 [f(x)-f(x-h)]/ h

lim as h -> 0 [f(x)-f(x-h)]/ h

also equals the derivative of f if the functon is differentiable.

## Similar Questions

1. ### Algebra: Functions

Write a rule that describes the relationship between minutes and second. Write a rule that describes the relationship between minutes and second. Find the rule for each function table. x y 2 -2 0 0 -2 2 -4 4 it looks like the x is …
2. ### calculus

For a function f, let f*(x) = lim as h→0 be [f(x+h) - f(x-h)]/h a) Determine f*(x) for f(x) = cosx b) write an equation that expresses the relationship between the functions f* and f` where f` denotes the usual derivative of …
3. ### math

Write an equation that shows the relationship between the quanities. The total cost of a certain plumber is a flat rate of \$35 plus \$9.50/hr How would I write the equation between the quanities?
4. ### algebra

I'm doing functions, and I need to write an equation that represents the relationship between X and Y. (1,4),(2,7),(3,10),(4,13) I see what it is, but i don't know how to write it in an equation?
5. ### Pre-Calculus

Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this?
6. ### math functions

My sheet says, 'write a rule that describes the relationship between minutes and seconds.' It would help alot!!!
7. ### Algebra

Write an equation that expresses the relationship. Then solve the equation for c. q varies jointly as c and the square of h.
8. ### Math

jody gets paid \$200.00 per week, plus \$100.00 for every oil change she completes. write the equation that shoes the relationship between the number of oil changes and her weekly income. then write the slope of the line that represents …
9. ### Algebra

Write an equation that expresses the following relationship. U varies directly with the cube of P and inversely with D. In your equation,use K as the constant of proportionality.
10. ### Algebra

Write an equation that expresses the following relationship. P varies directly with the square of D. In your equation, use K as the constant of proportionality.

More Similar Questions