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Oh, thanks! But then 3-3=0 and the whole thing is 0verty said:
In the relevant equations, you have correctly given the equation of a plane. You can rewrite this asJozefina Gramatikova said:
A stationary point is a point on a curve or surface where the derivative or gradient is equal to zero. This means that the slope or rate of change is neither increasing nor decreasing at that point.
Finding the tangent plane at a stationary point allows us to approximate the behavior of a curve or surface near that point. This can help in understanding the overall shape and behavior of the curve or surface as well as making predictions about its future behavior.
To find the tangent plane at a stationary point, we need to first find the gradient vector at that point. Then, we can use this vector to find the normal vector to the tangent plane. Finally, we can use the normal vector and the coordinates of the stationary point to find the equation of the tangent plane.
Yes, a curve can have multiple stationary points. This means that there are multiple points on the curve where the slope or rate of change is equal to zero. These points may be local maxima, local minima, or points of inflection.
A stationary point is a point on a curve or surface where the derivative or gradient is equal to zero. A critical point, on the other hand, is a point where the derivative or gradient does not exist. This means that a critical point can also include points where the slope or rate of change is undefined, such as sharp corners or cusps.
