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How do you find the derivative of #f(x)= 2/x#?

Answer 1

Emilia Aguilar

#f'(x)=-2/x^2#.

We can use the power rule to differentiate this function, and the fact that #d/dxcf(x)=cd/dxf(x)#. So

#f'(x)=2d/dx(1/x)=2(-1/x^2)=-2/x^2#.

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Answer 2

William Abdalla

To find the derivative of ( f(x) = \frac{2}{x} ), you can use the power rule for differentiation, which states that if ( f(x) = x^n ), then ( f'(x) = nx^{n-1} ). Applying this rule to ( f(x) = \frac{2}{x} ), the derivative is ( f'(x) = -\frac{2}{x^2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.