if y=x^2 then find dy/dt?

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∻Solution by Steps∻ ‖ step 1 ⋮ Given $y = x^2$, we need to find $\frac{dy}{dt}$. ‖ ‖ step 2 ⋮ To find $\frac{dy}{dt}$, we use the chain rule: $\frac{dy}{dt} = \frac{dy}{dx} \cdot \frac{dx}{dt}$. ‖ ‖ step 3 ⋮ First, we differentiate $y = x^2$ with respect to $x$: $\frac{dy}{dx} = 2x$. ‖ ‖ step 4 ⋮ Now, we multiply by $\frac{dx}{dt}$: $\frac{dy}{dt} = 2x \cdot \frac{dx}{dt}$. ‖ ∻Answer∻ ⚹ $\frac{dy}{dt} = 2x \cdot \frac{dx}{dt}$ ⚹ ∻Key Concept∻ ⚹Chain Rule⚹ ∻Explanation∻ ⚹The chain rule is used to differentiate a function with respect to a variable that is itself a function of another variable.⚹◊What is the derivative of y with respect to t when y=x^2?⍭ Generate me a similar question◊

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