How do you use the Product Rule to find the derivative of ##?
See the explanation.
Example:
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To use the Product Rule to find the derivative of a function, follow these steps:
- Identify the two functions being multiplied together.
- Differentiate each function separately.
- Apply the Product Rule formula, which states that the derivative of the product of two functions u(x) and v(x) is given by: [ (u(x) \cdot v(x))' = u'(x) \cdot v(x) + u(x) \cdot v'(x) ]
Where:
- ( u'(x) ) is the derivative of the first function.
- ( v'(x) ) is the derivative of the second function.
- ( u(x) ) and ( v(x) ) are the original functions.
- Substitute the derivatives and original functions into the formula.
- Simplify the resulting expression if possible.
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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.
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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