Find the Equation of the Tangent Line to a Function at a Given Point

This calculus tutorial shows how to use basic calculus to find the equation of the tangent to a function at any point that is continuous. You plug the x value into f(x) to find the corresponding y value. You also plug the x value into the derivative f'(x) to find the slope. From there you use the slope point formula y-y1=m(x-x1), where (x1,y1) are the coordinates of the point where the tangent touches the curve. Just rearrange the formula into the form y=mx+b and you have the equation of the tangent line!