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texelaare

Answered question

2021-09-03

Find the tangent line(s) to the parametric curve given by

x = t^{5} - 4 t^{3}

y = t^{2}

Alannej

Skilled2021-09-04Added 104 answers

x = t^{5} - 4 t^{3}

y = t^{2}

m = \frac{d y}{d x} = \frac{2 t}{5 t^{4} - 12 t^{2}}

\Rightarrow \frac{2}{5 t^{3} - 12 t} [\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}}]

line of tangent

Y - y_{1} = m (x - x_{1})

Y - t^{2} = \frac{2}{5} t^{3} - 12 t (x - t^{5} + 4 t^{3})

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