(1) Find the derivative of f(x) = x² + 2x using first principles as follows: ● Find f(x + h). • Calculate f(x + h) − f (x) and simplify it. • Simplify f(x+h)-f(x) • Now take the limit as h approaches zero, that is, limħ→ f(x+h)-f(x)¸

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(1) Find the derivative of f(x) = x² + 2x using first principles as follows:
• Find f(x + h).
• Calculate f(x + h) − f(x) and simplify it.
• Simplify f(x+h)-f(x)
• Now take the limit as h approaches zero, that is, limħ→o f(x+h)-f(x).
Transcribed Image Text:(1) Find the derivative of f(x) = x² + 2x using first principles as follows: • Find f(x + h). • Calculate f(x + h) − f(x) and simplify it. • Simplify f(x+h)-f(x) • Now take the limit as h approaches zero, that is, limħ→o f(x+h)-f(x).
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