# Science:Math Exam Resources/Courses/MATH100/December 2016/Question 04 (a)/Hint 1

From UBC Wiki

A line is tangent to the function at , if first the tangency point lies on both the line and the function, and also the slope of the line is the derivative of the function at . Therefore,

a function is tangent to the given line if it goes through and has derivative at that point.