Q50 of 354 Page 12

If y = x sin y, prove that

_Here,

y = x sin y

……(i)

Differentiating it with respect to x using product rule,

[From (i)]

_{Hence Proved.}

If (sin x)^y = x + y, prove that

If xy log(x + y) = 1, prove that

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 .