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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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