# What is the derivative of the exponential function #y = e^(4tansqrtx)#?

Solution

Differentiating both sides with respect to 'x'

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The derivative of the exponential function ( y = e^{4\tan(\sqrt{x})} ) with respect to ( x ) is:

[ \frac{dy}{dx} = e^{4\tan(\sqrt{x})} \cdot \frac{d}{dx}(4\tan(\sqrt{x})) ]

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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.

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