# What is the equation of the tangent line of #f(x)=e^(-x^2)-sin3x# at #x=pi/4#?

Your tangent equation at

so to find the tangent, you need to find

Finding

for

Finding

for

After all, you put what you found into your tanget function, so you get:

Where the green line is your f(x), yellow line is the tangent of

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The equation of the tangent line of f(x)=e^(-x^2)-sin3x at x=pi/4 is y = -2x + (e^(-pi^2/16) - sin(3pi/4) + 2pi/4).

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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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