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Let f(x) = -5x² - 8x + 15. We will find f'(x) using the definition f'(x) = lim h-0 f(x+h)-f(x) h

Let f(x) = -5x² - 8x + 15. We will find f'(x) using the definition f'(x) = lim h-0 f(x+h)-f(x) h

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Let f(x) = -5x2 - 8x + 15. We will find f'(x) using the definition f'(x) = lim h→0 We break this down into four steps, as follows: STEP 1: Find f(x + h). f(x + h) = STEP 2: Find f(x +h)-f(x). f(x+h)-f(x) = STEP 3: Find f(x+h)-f(x) h f(x+h)-f(x) = h STEP 4: Find f'(x) = lim h-0 f'(x) = f(x+h)-f(x) h f(x+h)-f(x) h
Transcribed Image Text:Let f(x) = -5x2 - 8x + 15. We will find f'(x) using the definition f'(x) = lim h→0 We break this down into four steps, as follows: STEP 1: Find f(x + h). f(x + h) = STEP 2: Find f(x +h)-f(x). f(x+h)-f(x) = STEP 3: Find f(x+h)-f(x) h f(x+h)-f(x) = h STEP 4: Find f'(x) = lim h-0 f'(x) = f(x+h)-f(x) h f(x+h)-f(x) h
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