# What is the equation of the line tangent to # f(x)=2xcos3x# at # x=pi/3#?

Tangent line:

From the given trigonometric equation

Let

solve for the point

The point is

Solve for the slope

slope

Use Point-Slope form to find the equation of the tangent line

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The equation of the line tangent to f(x)=2xcos3x at x=pi/3 is y = -3√3x + 3√3π/2.

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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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