Write the correct alternative in the following:

If x = f(t) and y = g(t), then is equal to

Write the correct alternative in the following:

If y = a cos (log_e x) + b sin (log_e x), then x² y₂ + xy₁ =

Write the correct alternative in the following:

If x = 2at, y = at², where a is a constant, then

Write the correct alternative in the following:

If y = sin (m sin^–1 x), then (1 – x²) y₂ – xy₁ is equal to

Write the correct alternative in the following:

If y = (sin^–1 x)², then (1 – x²) y₂ is equal to