Example 2-3-1 - Maple Help



Chapter 2: Space Curves



Section 2.3: Tangent Vectors



Example 2.3.1



 If $\mathbf{R}\left(p\right)$ is the position-vector representation of the parametric curve $x={p}^{2}$, $y={p}^{3}$, $p\ge 0$, show that $\underset{h\to 0}{lim}\frac{\mathbf{R}\left(p+h\right)-\mathbf{R}\left(p\right)}{h}$, denoted by $\mathbf{R}\prime \left(p\right)=\frac{d\mathbf{R}}{\mathrm{dp}}$, is the vector . Thus, the differentiation operator $\frac{d}{\mathrm{dp}}$ is applied to R by applying it to each component of R.