Question

f(x)=x^2+5x at (4,36)
a) find slope of the tangent line to the graph of f at the given point.
b) find the slope-intercept equation of the tangent line to the graph of f at the given point.
(I attempt it, it didn't work out :\) Help please!

Answer 1

Okay, let's work on (a) first....
When you get asked for anything along the lines of "slope of the tangent line" your mind should immediately race to the concept of the 'derivative'

That said, what is the derivative of f(x)?
\[\huge f'(x) = \color{red}?\]