Use the four-step process to find the slope of the tangent line to the graph of the given function at any point

Question

f(x) = 2x² + 3x how would it develop

Answer 1

The slope of the tangent line to any point is the first derivative.

f'(x) = 4x + 3, m = 4x + 3

Any point on the line can be expressed as (a, 2a² + 3a)

Using point-slope form from Algebra 1.

y - (2a² + 3a) / (x - a) = 4x + 3