# What is the equation of the line tangent to #f(x)=x^2 + sin(x) # at #x=pi#?

Find the point the tangent line will intercept.

To find the slope of the tangent line, find the derivative of the function.

The slope of the tangent line is

Graphed are the function and tangent line:

graph{(x^2+sin(x)-y)(y-pi^2-(2pi-1)(x-pi))=0 [-29.44, 52.78, -5.24, 35.85]}

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The equation of the line tangent to f(x)=x^2 + sin(x) at x=pi is y = -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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