Tag: tangent

What is the point of tangency – no calculus, please

Problem Two lines intersect the graph . The secant line intersects the graph at point A and B and the tangent line which is parallel to the secant, touches the graph at point E. You can read the coordinates of A and B from the graph but not E. What are the coordinates of E?

How to sketch the graph of the derivative of a function

What is a derivative function? The derivative function f  is a function f’ that maps each value of x to the gradient or slope of the line tangent to f(x). Let’s have an example. Suppose your function f is defined by f(x)=x2. The derivative of f is the function f’ defined by f’(x) =2x. This