Search results
Free tangent line calculator - find the equation of the tangent line given a point or the intercept step-by-step.
The equation of the tangent to y=f(x) at the point x=a is given by the formula: y=f'(a)(x-a)+f(a). The formula for the equation of tangent is derived from . The gradient of the tangent when is equal to the derivative at the point , which is given by .
Free tangent line calculator - step-by-step solutions to help find the equation of the tangent line to a given curve at a given point.
- Method
- Tips
Sketch the function and tangent line (recommended). A graph makes it easier to follow the problem and check whether the answer makes sense. Sketch the function on a piece of graph paper, using a graphing calculator as a reference if necessary. Sketch the tangent line going through the given point. (Remember, the tangent line runs through that point and has the same slope as the graph at that ...Take the first derivative to find the equation for the slope of the tangent line. [1] X Expert Source Jake Adams Academic Tutor & Test Prep Specialist Expert Interview. 20 May 2020. For function f(x), the first derivative f'(x) represents the equation for the slope of the tangent line at any point on f(x). There are many ways to take derivatives. Here's a simple example using the power rule ...Enter the x value of the point you're investigating. [3] X Expert Source Jake Adams Academic Tutor & Test Prep Specialist Expert Interview. 20 May 2020. Read the problem to discover the coordinates of the point for which you're finding the tangent line. Enter the x-coordinate of this point into f'(x). The output is the slope of the tangent line at this point. Example 1 (cont.): The point ...Write the tangent line equation in point-slope form. The point-slope form of a linear equation is y − y 1 = m ( x − x 1 ) {\displaystyle y-y_{1}=m(x-x_{1})} , where m is the slope and ( x 1 , y 1 ) {\displaystyle (x_{1},y_{1})} is a point on the line.[4] X Research source You now have all the information you need to write the tangent line's equation in this form. Example 1 (cont.): y − ...Confirm the equation on your graph. If you have a graphing calculator, graph the original function and the tangent line to check that you have the correct answer. If working on paper, refer to your earlier graph to make sure there are no glaring mistakes in your answer. Example 1 (cont.): The initial sketch showed that the slope of the tangent line was negative, and the y-intercept was well ...If necessary, start by rewriting the initial equation in standard form: f(x) = ... or y = ... Thanks Helpful 0 Not Helpful 0- 10 min
- 1.3M
- Jake Adams
Here are the steps to take to find the equation of a tangent line to a curve at a given point: Find the first derivative of f(x). Substitute x in f'(x) for the value of x 0 at the given point to find the value of the slope.
An online tangent line calculator will help you to determine the tangent line to the implicit, parametric, polar, and explicit at a particular point. Apart from this, the equation of tangent line calculator can find the horizontal and vertical tangent lines as well.
People also ask
How do I find a tangent line?
What is tangent line calculator?
How does the horizontal tangent line Equation Calculator work?
What is the formula for the equation of tangent?
How to calculate tangent line slope?
What is a tangent point?
The horizontal tangent line equation calculator works when you provide an equation of curve and a point. It uses the slope-intercept form of the equation of the straight line to find the tangent line equation at a specific point and provides a step-by-step complete solution.
