Find an equation of the tangent line to the curve at the point (7, 2).
i got stuck on this one.
Take the derivative.
Find the slope by filling in x in the derivative for the coordinate given.
Set up the equation y = mx + b. Where m is the slope you just calculated. y is your y coordinate value and x is your x coordinate value.
Simply solve for b.
And rewrite in form of y = mx + b (with m and b filled in.)
I never once said that division and multiplication are different, but going from to requires a step that is not always intuitive. The problem sounds like he's in Calc. I. And adding a rule intuitively is not always the best way for someone to solve a problem.
The Reciprocal rule was used, and it is a version of the Quotient Rule, and that Rule was embedded in your solution through the Product Rule.