6. a) Find dx
dy , when
i) t x 3cost 2cos t, y 3sin t 2sin 3 3 = − = −
ii) [ \{1} 2 ( ) (sin ) , ] 0, 1 sin π = + ∈ − y nx x x x x l . (3 × 2 = 6)
b) If
⎪⎩
⎪
⎨
⎧
=
≠ = −
0 ; x 0
; x 0
x
1
x tan f(x) 1
, show that f is continuous but not differentiable at
x = 0 .
1
Expert's answer
2017-03-11T10:31:01-0500
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