# How do you differentiate #f(x)=csc(1/(5x^2-1))# 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.

- How do you differentiate #f(x) = (x^3+cos3x)^(1/2)?# using the chain rule?
- How do you differentiate #f(x)=(1-4x)/(1+4x)# using the quotient rule?
- If #f(x) =-e^(2x-1) # and #g(x) = 5sin^2x^2 #, what is #f'(g(x)) #?
- How do you implicitly differentiate #y= y(x-y)^2 + e^(x y) #?
- How do you find the derivative of #h(x) = (2x^2-3x+1)/x#?

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