# How do you differentiate #f(x)=sin(1/(2x)^3)# using the chain rule?

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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 implicit derivative of #25=cosy/x-3xy#?
- How do you differentiate #f(x)=x(1+e^(x^2))^(1/5)# using the chain rule?
- How do you use the quotient rule to differentiate #y=(x+3)^2/(x-1)#?
- How do you find the derivative #e^(x+y) + e^2x +e^2y#?
- How do you implicitly differentiate #y= xy^2 + x ^2 e^(4x+y) #?

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