AP EAMCET · Maths · Differentiation
The curve represented by \(x=t^5+5 t^3+20 t+7\) and \(y=4 t^3-3 t^2-18 t+3\) is decreasing in the interval
- A \((-2,-1)\)
- B \((3 / 2,2)\)
- C \((-1,3 / 2)\)
- D \((-2,2)\)
Answer & Solution
Correct Answer
(C) \((-1,3 / 2)\)
Step-by-step Solution
Detailed explanation
\(\because x=t^5+5 t^3+20 t+7\) \(\begin{aligned} & \frac{d x}{d t}=5 t^4+15 t^2+20 \\ & \text { and } y=4 t^3-3 t^2-18 t+3 \Rightarrow \frac{d y}{d t}=12 t^2-6 t-18\end{aligned}\) Now,…
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