# What is the equation of the tangent line of #f(x) = 3x^3+e^(-3x)-x# at #x=4#?

At every point, the derivative's value is equal to the gradient of the tangent.

Changing the point located in we obtain

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The equation of the tangent line of f(x) = 3x^3+e^(-3x)-x at x=4 is y = 192x - 257.

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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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