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?Find dy/dx and dy/dt.y = t
Chapter 2, Problem 35(choose chapter or problem)
QUESTION:
Find \(dy/dx\) and \(dy/dt\).
\(y=t x^{2}+t^{3} x\)
Questions & Answers
QUESTION:
Find \(dy/dx\) and \(dy/dt\).
\(y=t x^{2}+t^{3} x\)
ANSWER:Step 1 of 2
Given function,
\(y=t x^{2}+t^{3} x\)
Calculate the differentiation of the function y with respect to x.
Differentiating y with respect to x by taking t as a constant.
\(\begin{array}{l} \frac{d y}{d x}=t \frac{d}{d x}\left(x^{2}\right)+t^{3} \frac{d}{d x}(x) \\ \frac{d y}{d x}=(2 x) t+t^{3} \\ \frac{d y}{d x}=t\left(2 x+t^{2}\right) \end{array}\)