# What is the equation of the line tangent to # f(x)=1/sqrt(e^x-3x) # at # x=0#?

The equation is

We now rewrite the function as

We can find this derivative using the chain rule.

The slope of the tangent is hence

Now write the equation of the tangent.

Hopefully this helps!

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The equation of the line tangent to f(x) = 1/√(e^x-3x) at x=0 is y = -1/3x + 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.

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