Suppose y = 2x + 1, where x and y are functions of t.(a) If dx/dt = 6, find dy/dt when x = 4.dydt = (b) If dy/dt = 4, find dx/dt when x = 24.dxdt =
Question
Solution 1
(a) To find dy/dt when x = 4 and dx/dt = 6, we first need to differentiate the given equation y = 2x + 1 with respect to t.
The derivative of y with respect to t (dy/dt) is equal to the derivative of 2x + 1 with respect to t.
Using the chain rule, we get dy/dt = 2(dx/dt).
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