Parametric, Polar & Vectors · Parametric Curves
Parametric Derivative (dy/dx)
The slope of a parametric curve x = x(t), y = y(t) is the ratio of the derivatives with respect to the parameter t.
Conditions. x'(t) ≠ 0.
- 0 variables
- 2 worked examples
- 12 in Parametric, Polar & Vectors
Worked examples
Find dy/dx for x = t², y = t³ at t = 1.
- dx/dt = 2t, dy/dt = 3t²
- dy/dx = 3t²/(2t) = 3t/2
- At t = 1: dy/dx = 3/2
Answer: 3/2
1 more worked examplePremium
Find dy/dx for x = cos t, y = sin t.
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Practice
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