Write the equation of the tangent to the curve y=|x| at the point (-2,2) ?

Question

Tangent and normal question from differential calculus

Answer 1

Equation of a Line, Tangent Lines

On this page we hope to demonstrate the following:

Equation of a Line, standard form and point-slope
Ex: y = 3x + 4, y - 7 = 3(x - 1)

Finding x-intercept and y-intercept

Finding the equation of tangent lines
Ex: Find the equation of the tangent line of y = x³ at x = 2

Equation of a line

Standard Form

When we try to graph polynomials, we quickly find that a polynomial of single degree, where nothing is squared or square-rooted, is always going to be a line. Let's analyze the line y = 3x + 4, whose equation is written in standard form.