Find the second derivative of #f(x)=x^4 tan x#?
Given that
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To find the second derivative of ( f(x) = x^4 \tan(x) ), follow these steps:

Find the first derivative ( f'(x) ) using the product rule. [ f'(x) = 4x^3 \tan(x) + x^4 \sec^2(x) ]

Now, differentiate ( f'(x) ) using the product rule again. [ f''(x) = 12x^2 \tan(x) + 4x^3 \sec^2(x) + 4x^3 \tan(x) \sec^2(x) + 2x^3 \tan(x) \sec^2(x) ]

Simplify the expression if necessary.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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