What is the Derivative of #y=x sec(kx)#?
By Product Rule,
by Chain Rule,
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To find the derivative of ( y = x \sec(kx) ), where ( k ) is a constant, you can use the product rule and the chain rule.
[ \frac{d}{dx} (x \sec(kx)) = x \frac{d}{dx} \sec(kx) + \sec(kx) \frac{d}{dx} x ]
[ = x \sec(kx) \tan(kx) + \sec(kx) ]
[ = \sec(kx)(x \tan(kx) + 1) ]
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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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