How do you use the definition of a

Gustavo Lam

Gustavo Lam

Answered question

2022-04-12

How do you use the definition of a derivative to find the derivative of f(x)=3x2 to calculate f'(a)?

Answer & Explanation

gigglesbuggk1co

gigglesbuggk1co

Beginner2022-04-13Added 13 answers

By definition of derivative:
f(a)=limxa(1xa)(3x23a2)
f(a)=limxa(1xa)3(a2)3(x2)(a2)(x2)
f(a)=limxa(1xa)3a63x+6(a2)(x2)
f(a)=limxa(1xa)3(xa)(a2)(x2)
f(a)=limxa3(a2)(x2)
f(a)=3(a2)2

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