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Calculus 1. Second derivatives?

0 votes

Find the second derivative of the functions:

1) (x^4+9)/(x²)

Answer choices:
A)d²y/d²x= 2-(54/x^4)
B)d²y/d²x= 2+(54/x^4)
C)d²y/d²x=1+(54/x^4)
D)d²y/d²x= 2x-(18/x^3)

2) s= (t^6+5t+7)/(t²)

Answer choices:
A)d²s/dt²= 12t^4 + (10/t) + (42/t²)
B)d²s/dt²= 4t² + (5/t^3) - (14/t^4)
C)d²s/dt²= 4t^3 - (5/t²) - (14/t^3)
D)d²s/dt²= 12t² + (10/t^3) + (42/t^4)

asked Jun 25, 2014 in CALCULUS by anonymous

2 Answers

0 votes

1) The function image

Apply deriative on each side with respect of x.

image

The quotient rule in deriatives

Apply the formulae image

image

image

Product of powers property image

image

image

Again deriative on each side with respect of x .

image

image

image

image

image

image

Option B is correct choice.

answered Jun 25, 2014 by david Expert
edited Jun 25, 2014 by david
0 votes

2) The function image

Apply deriative on each side with respect of t.

image

The quotient rule in deriatives

Apply the formulae image

image

Product of powers property image

image

image

image

Again deriative on each side with respect of t .

image

image

image

image

image

image

image

Option D is correct answer.

answered Jun 25, 2014 by david Expert

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