Calculus

Suppose
y = sqrt(2x + 1), where x and y are functions of t.
(a) If dx/dt = 15, find dy/dt when x = 4.
dy/dt = ?

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  1. dy/dt = 1/(2√(2x+1)) * 2 * dx/dt
    so, at the given point,
    dy/dt = 1/(2√9) * 2 * 15 = 5

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