To find the first and second derivatives of y with respect to x for the equation y = t, we need to express t in terms of x.
Since the problem does not provide a specific relationship between t and x, we will assume that t is a constant. Therefore, the value of y = t does not change when x changes.
1. **Finding dy/dx:**
Since y = t is a constant with respect to x, the derivative of a constant is always zero. Therefore, we get:
dy/dx = 0
2. **Finding d²y/dx²:**
The second derivative is simply the derivative of the first derivative. Since dy/dx = 0 is also a constant, its derivative will again be:
d²y/dx² = 0
In conclusion, for y = t, both the first and second derivatives with respect to x are zero:
dy/dx = 0d²y/dx² = 0