What is the derivative of this function #y=(cos^-1(4x^2))^2#?
Substituting,
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To find the derivative of the function , we can use the chain rule and the power rule for differentiation.
Let . Then .
Using the chain rule, the derivative of with respect to is:
Now, using the power rule, the derivative of with respect to is:
Finally, we combine these derivatives using the chain rule:
Substituting back :
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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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