Answered: "Find the derivatives of the functions y=(1−t)(1+t2)−1" - Plainmath

Walter Clyburn

Answered question

2021-12-10

Find the derivatives of the functions

y = (1 - t) (1 + t^{2}) - 1

Answer & Explanation

Natalie Yamamoto

Beginner2021-12-11Added 22 answers

Given,

y = (1 - t) (1 + t^{2}) - 1

\Rightarrow y = 1 + t^{2} - t - t^{3} - 1

\Rightarrow y = t^{2} - t - t^{3}

Now differentiating with respect to t, we get

\frac{d y}{d t} = 2 t - 1 - 3 t^{2} [∵ \frac{d (x^{n})}{d x} = n x^{n - 1}]

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