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Question 315

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)

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   CLEAR

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)

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x3 + x2y + y2 = 0

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ln x +  = c

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x2 + y2 – 4x – 10y + 4 = 0

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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

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sin y − cos x = 0

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 + xy = e, find  at the point (0, 1)

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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
 

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