# What is the equation of the line tangent to #f(x)=7x^2-3x +6 # at #x=1#?

It is

The equation of a line in the plane is

Our line is then

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The equation of the line tangent to f(x)=7x^2-3x+6 at x=1 is y=8x+10.

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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 normal line of #f(x)=x^2-x+1/x# at #x = 2#?
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- How do you use the limit definition to find the slope of the tangent line to the graph # f(x) = x^2#?
- How do you find f'(x) using the definition of a derivative for #f(x)=cos x#?
- What is the slope of #f(x)=-X/e^(x-x^3) # at #x=-1#?

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