Finding The Tangent Line Of A Function Video Tutorial
derivatives video, tangent line video.
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Finding The Tangent Line Of A Function
This math video tutorial gives a step by step explanation to a math problem on "Finding The Tangent Line Of A Function".
Finding the tangent line of a function video involves derivatives, tangent line.
The video tutorial is recommended for 10th Grade, 11th Grade, and/or 12th Grade Math students studying Calculus.
In calculus, the derivative is a measurement of how a function changes when the values of its inputs change. Loosely speaking, a derivative can be thought of as how much a quantity is changing at some given point. For example, the derivative of the position or distance of a car at some point in time is the instantaneous velocity, or instantaneous speed (respectively), at which that car is traveling (conversely the integral of the velocity is the car's position).
A closely related notion is the differential of a function.
The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.
The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration.
In geometry, the tangent line (or simply the tangent) to a curve at a given point is the straight line that "just touches" the curve at that point. As it passes through the point of tangency, the tangent line is "going in the same direction" as the curve, and in this sense it is the best straight-line approximation to the curve at that point.
In a similar way, the tangent plane to a surface at a given point is the plane that "just touches" the surface at that point.