The derivative of a function of fat z is given by provided the limit exists. f(x+h)-f(x) = f'(x) = _lim h→0 Use the definition of the derivative to find the derivative of f(x) = 6x² + 5z +5. Enter the fully simplified expression for f(z+h)-f(z). Do not factor. Make sure there is a space between variables. f'(x) = f(x+h)-f(x) h

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Hello and good day to you I need some help figuring out this calculus math problem and I not quite sure how to go about it.

The derivative of a function of f at z is given by
provided the limit exists.
f(x+h)-f(x) =
f'(x) = lim
h→0
Use the definition of the derivative to find the derivative of f(x) = 6x² + 5x +5.
Enter the fully simplified expression for f(a+h)-f(z). Do not factor. Make sure there is a space between variables.
f(z) =
f(x+h)-f(x)
h
Transcribed Image Text:The derivative of a function of f at z is given by provided the limit exists. f(x+h)-f(x) = f'(x) = lim h→0 Use the definition of the derivative to find the derivative of f(x) = 6x² + 5x +5. Enter the fully simplified expression for f(a+h)-f(z). Do not factor. Make sure there is a space between variables. f(z) = f(x+h)-f(x) h
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