How do you find the derivative of #y = f(x) - g(x)#?

Answer 1
The derivative for #y=f(x)-g(x)# works the same way as the derivative of #y=f(x)+g(x)#.
#y=f(x)-g(x) => dy/dx=f'(x)-g'(x)#
The quick proof is: #y=f(x)-g(x)=f(x)+(-1)g(x)# Using the sum rule and the constant rule: #dy/dx=f'(x)+(-1)g'(x)=f'(x)-g'(x)#.
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Answer 2

To find the derivative of y = f(x) - g(x), where f(x) and g(x) are functions of x, you can use the property that the derivative of a difference is the difference of the derivatives.

So, the derivative of y = f(x) - g(x) is dy/dx = f'(x) - g'(x), where f'(x) is the derivative of f(x) with respect to x, and g'(x) is the derivative of g(x) with respect to x.

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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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