Question

seja a função f(x) = 3 vezes raiz de x^- 2, determine a derivada f' (x)

Answer 1

y=3.(x^-2)^ 1/2
y=3.x^-1
dy/dx=3.(-1) x^-2
dy/dx=-3x^2

Answer 2

$\mathsf{f(x)=3\cdot\sqrt{x^{-2}}}\\\mathsf{f(x)=3\cdot x^{-1}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{f'(x)=-3x^{-2}=-\dfrac{3}{x^2}}}}}}$

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