How do you find the partial derivative of #f(x,y) = sin 3x + cos 5y#?
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To find the partial derivatives of ( f(x, y) = \sin(3x) + \cos(5y) ):

Partial derivative with respect to ( x ): ( \frac{\partial f}{\partial x} = 3\cos(3x) )

Partial derivative with respect to ( y ): ( \frac{\partial f}{\partial y} = 5\sin(5y) )
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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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