# What is the derivative of #-x#?

Since x is negative in this instance, the derivative of x would be -1. This is easily seen:

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The derivative of -x is -1.

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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.

- What is the derivative of #sqrt(x^3)#?
- How do you differentiate #f(x)=sinx+cosx-x^3# using the sum rule?
- How do you implicitly differentiate #x^3 y-3xy^2# at the point (1,-10)?
- How do you differentiate #g(x) = x^3sqrt(2x+1)# using the product rule?
- How do you find the derivative for #y = [(x^2-3) / (x^2)]^4#? My answer was -8x(x^2-3)^3 / (x^2+3)^5 but the answer key says 48x(x^2-3)^3 / (x^2+3)^5?

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