If y x = e y–x , prove that

Question

Philoid · Accepted Answer

Given: y^x = e^{y – x}

Taking log on both the sides, we get

log y^x = log e^{y – x}

⇒ x logy = y – x

…(i)

On differentiating both the sides with respect to x, we get

[using (i)]

Hence Proved

If yx = ey–x, prove that