Question

Find dy/dx in terms of t without eliminating the parameter

A) dy/dx = 2t
B) dy/dx = 2t - 3
C) dy/dx = t²
D) dy/dx = t² - 3

Answer 1

The derivative dy/dx in terms of t without eliminating the parameter is represented by A) dy/dx = 2t.

Step-by-step explanation:

To find dy/dx in terms of t without eliminating the parameter, we can use the chain rule. If y = f(t), then the derivative of y with respect to x, dy/dx, is given by:

dy/dx = (dy/dt) / (dx/dt)

Since the equation is not given, we cannot determine the specific value of dy/dx. Option A, dy/dx = 2t, represents the general form of the derivative. Therefore, the correct answer is A) dy/dx = 2t.