What is the formula for the tangent line of $f(x)=-4x^2+10x$ at $x=-3$?

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Lesson Parent: 
The Formula of the Tangent Line
Problem: 

What is the formula for the tangent line of $f(x)=-4x^2+10x$ at $x=-3$?

Answer: 

$y=34x+36$

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Solution: 

We know that the general formula for the tangent line at a point $x_o$ for $f(x)$ is

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In this problem <Sign in to see all the formulas> and <Sign in to see all the formulas> because $f(x)$ is a polynomial and we know the derivative of a polynomial. Therefore,

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