Q45 of 354 Page 12

If e^{x + y} – x = 0, prove that

_Here,

e^{x + y} – x = 0

…… (i)

Differentiating it with respect to x using chain rule,

_{Hence Proved.}

If e^x + e^y = e^{x + y}, prove that

If e^y = y^x, prove that

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

If x sin (a + y) + sin a cos (a + y) = 0, prove that

If ex + y – x = 0, prove that