Question

Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 6, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find dx/dt when x = 24. dx dt =

Answer 1

$y=2x+1\\\\\dfrac{dy}{dt}=2\dfrac{dx}{dt}$

(a) For dx/dt=6, dy/dt = 2·6 = 12

(b) For dy/dt=2, 2 = 2·dx/dt ⇒ dx/dt = 1

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The value of x is irrelevant for this question.

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If your function is 2^x +1 or 2^(x +1), it needs to be written as such. The answer above applies to the function given.