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Fórmulas para las derivadas en matemáticas

En el siguiente link podemos encontrar las fórmulas para las derivadas

http://www.doe.virginia.gov/Div/Winchester/jhhs/math/lessons/calculus/deriv2.html

Derivar las siguientes funciones

1. f(x) = 3*x^2 – x + 5
f'(x) = 6*x + 1

2. f(x) = (2*x + 3)(3*x – 2)
f'(x) = 12*x + 5

3. f(x) = 4*x^4 – (1 / x^2)
f'(x) =16*x^3 + (2*x / x^4)
f'(x) =16*x^3 + (2 / x^3)

4. f(x) = 1 / (4 – t^2)
f'(x) = 2t / (4 – t^2)^2

5. f(x) = (x^2 – 4) / (x^2 + 4)
f'(x) = 16*x / (x^2 + 4)^2

6. f(x) = (t – 1) / (t^2 + 2*t + 1)
f'(x) = (-t^2 + 2*t + 3) / (t^2 + 2*t + 1)^2

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