60 Part I: The Questions
Using Implicit Differentiation
to Find a Second Derivative
414 – 417 Use implicit differentiation to find
d y
dx
2
2
.
414. 8x
2
+ y
2
= 8
415. x
5
+ y
5
= 1
416. x
3
+ y
3
= 5
417. x y
+
=1
Using Implicit Differentiation
to Find a Derivative
408 – 413 Use implicit differentiation to find
dy
dx
.
408. x
2
+ y
2
= 9
409. y
5
+ x
2
y
3
= 2 + x
2
y
410. x
3
y
3
+ x cos( y) = 7
411. x y
y
+ =
( )
cos
2
412. cot
y
x
x
y





 =
+
2
413. sec( )
xy
y
x
= +
1
2