The Newton-Raphson method is also called the **Tangent method**. This method is used for finding successively better approximations to the roots (or zeroes) of a real-valued function. The method is based on the idea of linear approximation and utilizes the tangent line at a given point on the function to approximate the roots.

Here's a brief explanation of why it’s called the Tangent method: when you want to find the root of a function $ f(x) $, you start with an initial guess $ x_0 $. The tangent line to $ f(x) $ at $ x_0 $ intersects the x-axis at a new point $ x_1 $. This point serves as a better approximation of the root. You continue this process iteratively to converge closer to the actual root.

Therefore, the correct choice is:

**d) Tangent method.**

Question

The Newton-Raphson method is also called the **Tangent method**. This method is used for finding successively better approximations to the roots (or zeroes) of a real-valued function. The method is based on the idea of linear approximation and utilizes the tangent line at a given point on the function to approximate the roots.

Here's a brief explanation of why it’s called the Tangent method: when you want to find the root of a function $ f(x) $, you start with an initial guess $ x_0 $. The tangent line to $ f(x) $ at $ x_0 $ intersects the x-axis at a new point $ x_1 $. This point serves as a better approximation of the root. You continue this process iteratively to converge closer to the actual root.

Therefore, the correct choice is:

**d) Tangent method.**

Knowee AI · Accepted Answer

The Newton-Raphson method is also called the **Tangent method**. This method is used for finding successively better approximations to the roots (or zeroes) of a real-valued function. The method is based on the idea of linear approximation and utilizes the tangent line at a given point on the function to approximate the roots.

Here's a brief explanation of why it’s called the Tangent method: when you want to find the root of a function $ f(x) $, you start with an initial guess $ x_0 $. The tangent line to $ f(x) $ at $ x_0 $ intersects the x-axis at a new point $ x_1 $. This point serves as a better approximation of the root. You continue this process iteratively to converge closer to the actual root.

Therefore, the correct choice is:

**d) Tangent method.**

The Newton Raphson method is also called as ____________a)Diameter methodb)Chord methodc)Secant methodd)Tangent method

Question

The Newton Raphson method is also called as ____________

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