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Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at 'a', denoted by f'(a) is defined by f'(a) = lim f(ath)-f(a) h→0 h. Provided this limit exists. This is also called Slope (m) of the tangent of function at point (a, f(a)) Example 1. Find the derivative of the following functions at the indicated points. Or Find the Slope of the following functions at the given points. f(x) = x3 7x +3 at x = 1 Solution:

Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at 'a', denoted by f'(a) is defined by f'(a) = lim f(ath)-f(a) h→0 h. Provided this limit exists. This is also called Slope (m) of the tangent of function at point (a, f(a)) Example 1. Find the derivative of the following functions at the indicated points. Or Find the Slope of the following functions at the given points. f(x) = x3 7x +3 at x = 1 Solution:

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at 'a', denoted by f'(a) is defined by f'(a) = lim f(a+h)-f(a) Provided this limit exists. This is also called Slope (m) of the tangent of function at point (a, f(a)) Example 1. Find the derivative of the following functions at the indicated points. Or Find the Slope of the following functions at the given points. f(x) = x³ – 7x + 3 at x = 1 Solution: notes A Notes Comments 19 ENG
Transcribed Image Text:Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at 'a', denoted by f'(a) is defined by f'(a) = lim f(a+h)-f(a) Provided this limit exists. This is also called Slope (m) of the tangent of function at point (a, f(a)) Example 1. Find the derivative of the following functions at the indicated points. Or Find the Slope of the following functions at the given points. f(x) = x³ – 7x + 3 at x = 1 Solution: notes A Notes Comments 19 ENG
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