# What is the equation of the line normal to #f(x)=(x+1)^2# at #x=-1#?

and the generic line equation is:

Alternatively:

It's a parabola with two cincident real roots.

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The equation of the line normal to f(x)=(x+1)^2 at x=-1 is y = -2x - 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.

- What is the equation of the line tangent to # f(x)=x^2+5x # at # x=-1 #?
- How do you find the equation of the tangent line to the curve #y= x + cos x# at (0,1)?
- What is the instantaneous velocity of an object with position at time t equal to # f(t)= (te^(t^2-3t),t^2-e^t) # at # t=3 #?
- What is the equation of the normal line of #f(x)=-4x-10 # at #x=-2 #?
- How do you find the equation of a line tangent to the function #y=4/sqrtx# at (1,4)?

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