So , slope of tnagent that parallel to xz planes is dz/dx , while the slope of tangent thatparallel to yz plane is dz /dy . ?FactChecker said:To be parallel to the xz plane means that the y value is some constant number (y ≡ 1). So there is no dy. y is not involved in that slope except that its constant value (1) might be in the equation. Calculate dz/dx and plug in the 1s.
Similarly, to be parallel to the yz plane means that the x value is some constant number (x ≡ 1). So there is no dx. x is not involved in that slope except that its constant value (1) might be in the equation. Calculate dz/dy and plug in the 1s
yeschetzread said:So
So , slope of tnagent that parallel to xz planes is dz/dx , while the slope of tangent thatparallel to yz plane is dz /dy . ?
The slope of a tangent line is a measure of the steepness of a curve at a particular point. It represents the rate of change of the curve at that specific point.
The slope of a tangent line can be calculated using the derivative of the function at the given point. This is done by taking the limit as the change in x approaches 0, and solving for the slope using the formula f'(x) = (f(x+h) - f(x))/h.
The slope of a tangent line tells us the rate of change of the curve at a specific point. It can also indicate the direction of the curve at that point, whether it is increasing or decreasing.
The slope of a tangent line is related to the curvature of a curve in that a larger slope indicates a steeper curve, while a smaller slope indicates a flatter curve. In other words, the slope of the tangent line can be used to determine the curvature of a curve at a specific point.
Yes, the slope of a tangent line can be undefined at points where the derivative of the function is undefined. This can occur at sharp corners or cusps on a curve, or at points where the function has a vertical tangent.