Q8 (i) If y = x^y, prove that x

dy / dx

=

y² / 1 - y logx

(ii) If x = e^x/y, prove that

dy / dx

=

x - y / x logx

(iii) If x^y = e^x-y, prove that

dy / dx

=

logx / (log xe)²

(iv) If x¹⁶y⁹ = (x² + y)¹⁷, prove that

dy / dx

=

2y / x

Solution

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