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

Find the derivative and use the definition of the slope.

The equation is:

The slope is equal to the derivative:

To find these values:

Finally:

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

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