Calculus

How to solve

f'(a) = lim h→0 [f(a+h)−f(a)]/h. For x² this simplifies to 2a.

Steps

  1. Expand (a+h)² − a².
  2. Divide by h and let h → 0.

Example

f(x)=x², a=3

  1. f'(3)=6.

Answer: 6

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