WebASK AN EXPERT. Math Calculus Find all points on the graph of f (x) = 9x² -33x+28 where the slope of the tangent line is 0. The point (s) on the graph of f (x) = 9x² - 33x + 28 where the slope of the tangent line is 0 is/are (Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) WebThe average rate of change of an arbitrary function f f f f on an interval is represented geometrically by the slope of the secant line to the graph of f f f f. The instantaneous rate of change of f f f f at a particular point is represented by the slope of the tangent line to the graph of f f f f at that point. Let's consider each case in more ...
Tangent (line) Definition (Illustrated Mathematics …
WebSo, as the simplest example: let's write the equation for the tangent line to the curve y = x 2 at the point where x = 3. The derivative of the function is y ′ = 2 x, which has value 2 ⋅ 3 = 6 when x = 3. And the value of the function is 3 ⋅ 3 = 9 when x = 3. Thus, the tangent line at that point is. y − 9 = 6 ( x − 3) The normal line ... WebTranscribed Image Text: Given the function below f(x) = -80x³ + 144 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. Answer in mx + b form. L(x) Use the tangent line to approximate f(1.1). high speed boat racing
Mathway Graphing Calculator
WebCalculus: Tangent Line & Derivative. Loading... Untitled Graph. Log InorSign Up. 1. 2. powered by. powered by "x" x "y" y "a" squared a 2 "a ... to save your graphs! New … WebSep 19, 2024 · The parametric equation for a line is l ( s) = p 0 + v s, where 0 is the starting point and v is some vector parallel to the line. Take p 0 = F ( 0) and v = F ′ ( 0) and we get the equation. You are being asked to find a vector equation of the tangent line to the curve at the given point. WebCalculus questions and answers. A Determine the point at which the graph of the function below has a horizontal tangent line. (If the function has no horizontal tangent line, enter NONE.) y = x3 + 9x (x, y) = (L BDetermine the point at which the graph of the function below has a horizontal tangent line. (If the function has no horizontal ... how many days in 200 years