thibaulthoriant thibaulthoriant

09-11-2019
Mathematics

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Compute the derivative of the following function f(x)=3x^2 at x=2

Respuesta :

jimrgrant1 jimrgrant1

09-11-2019

Answer:

12

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]

Given

f(x) = 3x², then

f'(x) = 2 × 3 × [tex]x^{2-1}[/tex] = 6x, thus

f'(2) = 6 × 2 = 12

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