Question

Find the slope of the tangent line to the graph of f at the given point.

Answer 1

\(f(x)=x^2 + 5x\) at (4, 36)

Take the derivative of f(x).

Then evaluate the derivative at x=4.

That gives you the slope of the tangent line at x=4.

And, (4,36) is a point ON the tangent line.

So you have slope, you have a point, you can cook up the equation for the line, right? :)

Answer 2

Oh, sorry - it didn't ask for the equation for the line. all you need is the slope. So ignore my last 2 sentences above, lol.

Answer 3

thanks