How do you differentiate #y= 6/x#?

Answer 1

We can rewrite the expression #y=6/x# as #y=6x^(-1)# and apply the power rule for derivatives.

In this case, #y'=(-6)/(x^2)#.

The power rule for derivatives states that #d/dx[u^(n)]=n*u^(n-1)#.
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Answer 2

To differentiate y = 6/x, you can use the power rule for differentiation. The power rule states that if you have a function in the form y = kx^n, then the derivative is dy/dx = nkx^(n-1), where k is a constant and n is any real number.

In this case, y = 6/x can be rewritten as y = 6x^(-1). Applying the power rule:

dy/dx = (-1)(6)x^(-1-1) = -6x^(-2) = -6/x^2

So, the derivative of y = 6/x is dy/dx = -6/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.

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.

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.

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.

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