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This calculator determines the equation of the tangent plane touching the surface (formed by given mathematical function) at the coordinate points. It also provides a step-by-step solution entailing all the relevant details differentiation.
Instantly calculate the equation of a tangent plane and see solution steps so you can check your work with the Voovers Tangent Plane Calculator.
Find tangent planes step by step. The calculator will try to find the tangent plane to the explicit and the implicit curve at the given point, with steps shown. Function $$$f {\left (x,y,z \right)} = k$$$: Point $$$\left (x_ {0}, y_ {0}, z_ {0}\right)$$$:$$$ ($$$ , , $$$) $$$.
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19 Αυγ 2024 · It simplifies the process of finding tangent planes, which can be tedious and error-prone when done manually. Find the equation of a tangent plane to any surface at a given point. Easy-to-use tool with step-by-step explanations.
3 Οκτ 2024 · The equation of the tangent plane at a point \((x_0, y_0, z_0)\) on a surface \(z = f(x, y)\) can be calculated using partial derivatives. The formula is: \[ z - z_0 = f_x(x_0, y_0)(x - x_0) + f_y(x_0, y_0)(y - y_0) \]
Step 1: Input Coordinates of the Point. x₀ (Point x-coordinate): Enter the x-coordinate of the point on the surface where you want to find the tangent plane. This field is required. y₀ (Point y-coordinate): Enter the y-coordinate of the point on the surface where the tangent plane is to be calculated. This field is required.
