What is the second derivative of #f(x)=sin(x^2) #?
The first derivative of the function can be found using the chain rule. The chain rule states that when differentiating a function that contains another function inside of it, you should differentiate the outside function while keeping the inside function intact and then multiply that by the derivative of the inside function.
To find the second derivative, we will this time have to use the product rule, since we're multiplying two different functions.
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To find the second derivative of , we first need to find the first derivative and then differentiate it again.
Now, differentiating with respect to :
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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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