Question
Let $y=x^{2}+7 x-5 .$ Evaluate $d y / d t$ when $x=1$ and $d x / d t=1 / 3$.
Step 1
Using the power rule, we get: dy/dx = 2x + 7 Now, we are given that dx/dt = 1/3 and x = 1. We can use the chain rule to find dy/dt: dy/dt = (dy/dx) * (dx/dt) Substitute the given values and the expression for dy/dx: Show more…
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Let $y=x^{2}+7 x-5 .$ Evaluate $d y / d t$ when $x=1$ and $d x / d t=1 / 3$
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