Find f '(x).f(x) = x2 + 5x + 7x
Question
Find f '(x).f(x) = x2 + 5x + 7x
Solution
Para encontrar f '(x) de la función f(x) = x^2 + 5x + 7x, primero simplificamos la expresión:
f(x) = x^2 + 5x + 7x f(x) = x^2 + 12x
Ahora, derivamos f(x) con respecto a x:
f '(x) = d/dx (x^2 + 12x)
Aplicamos la regla de la potencia y la regla de la suma:
f '(x) = d/dx (x^2) + d/dx (12x) f '(x) = 2x + 12
Por lo tanto, f '(x) = 2x + 12.
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