Question Detail

MTH 102 Differentiation Objective Question

Question

Find \( dy/dx \) for \( x = 2t^2, y = 4t \).
Options
A \( 1/t \)
Correct Answer
B \( t \)
C \( 4t \)
D \( 1/4t \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Parametric derivative: ( dy/dx = (dy/dt) / (dx/dt) ). ( dy/dt = 4 ), ( dx/dt = 4t ). So ( dy/dx = 4 / 4t = 1/t ).

Hint

Divide the derivative of \( y \) with respect to \( t \) by the derivative of \( x \) with respect to \( t \).

Question Info