## How do you find the equation of a tangent to a curve?

In order to find the equation of a tangent, we:

- Differentiate the equation of the curve.
- Substitute the value into the differentiated equation to find the gradient.
- Substitute the value into the original equation of the curve to find the y-coordinate.
- Substitute your point on the line and the gradient into.

## What is the equation of a tangent?

A tangent to a circle at point P with coordinates is a straight line that touches the circle at P. The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c .

**What is the tangent to a curve?**

tangent, in geometry, the tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point. It may be considered the limiting position of straight lines passing through the given point and a nearby point of the curve as the second point approaches the first.

### What is the equation of tangent to the curve at P?

If y = f(x), then the slope of the curve at point a is given by y’ = f'(x = a) = tan θ = m. Calculation: Given: curve y = memx where m > 0 intersects y-axis at a point P. ∵ the x coordinate of P is 0.

### What is the general equation of a curve?

The equation x + y = 1 represents a straight line in the cartesian plane, as shown in the picture below. Hence, an equation of a curve is the equation that can be used to represent the curve in a standard coordinate system.

**How do you calculate the tangent of a curve?**

Using the power rule,the first derivative f ′ ( x) = 3 x 2+4 x+5 {\\displaystyle f’ (x)=3x^{2}+4x+5} .

#### How do you find the equation of a tangent plane?

Remembering Tangent Lines. Let us first remember what is meant by finding the tangent line for functions of a single variable,f (x).

#### How do you calculate tangent angle?

Tangent calculator. The following is a calculator to find out either the tangent value of an angle or the angle from the tangent value.

**What is the derivative of a tangent line?**

Find the derivative,f ‘ ( x ).