How do you find the intervals of increasing and decreasing using the first derivative given #y=cos^2x-sin^2x#?
By the product 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.
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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- Is #f(x)=-12x^3+17x^2+2x+2# increasing or decreasing at #x=2#?
- What are the extrema of #f(x)=-8x^2+x# on #[-4,8]#?
- How do you use the Intermediate Value Theorem to show that the polynomial function # [cos (t)] t^3 + 6sin^5(t) -3=0# has a root on the interval (0,2pi)?

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