Find the second derivative of y with respect to x for the following function defined parametrically
x = a
y = b

Find the second derivative of y with respect to x for the following function defined parametrically
x = + 3t + 1
y =  − 3t + 1

Find the second derivative of y with respect to x for the following function defined parametrically
x = a (cos t + t sin t)
y = a (sin t − t cos t)

Find  where x = sec t and y = tan t

Find the derivative  of the following function
x³ + x²y + y² = 0

Find the derivative  of the following function
ln x +  = c

Find the derivative  of the following function
x² + y² – 4x – 10y + 4 = 0

Find the derivative  of the following function
 

Find   if tan⁻¹y – y + x = 0

Find   if = y – x

Find   if x + y = e^{x – y}

Find the value of y” at x = 1 if
x³ – 2x²y² + 5x + y – 5 = 0 and  = 1

a) 5

b) – 8

c)

d)

Find  for the following implicit function
 

Find  for the following implicit function
 = ln

Find  for the following implicit function
sin y − cos x = 0

Find  for the following implicit function
 + xy = e, find  at the point (0, 1)

Find  of the following function
x² + 5xy + y² – 2x + y – 6 = 0
find  at the point (1, 1)

For the following function represented parametrically
 

For the following function represented parametrically find  
x = ln (1 + t²)

y = t −

For the following function represented parametrically find
 

For the following function represented parametrically find
 

For the following function represented parametrically find
 

For the following function represented parametrically find