Here, y = ……(i)Taking log on both sides,log y = log log y = log Differentiating it with respect to x using product rule, chain rule,Using (i),

Q53 of 354 Page 12

If find .

Here, y = ……(i)

Taking log on both sides,

log y = log

Differentiating it with respect to x using product rule, chain rule,

Using (i),

Find the derivative of the function f(x) given by

f(x) = (1 + x)(1 + x²)(1 + x⁴)(1 + x⁸) and hence find f’(1)

If find .

If xy = e^{x – y}, find .

If y^x + x^y + x^x = a^b, find .