Question

y=x^2×e^x inverse function of it​

Answer 1

Question :   y = x ^ 2 × e ^ x  inverse function of it​

Step-by-step explanation:

The inverse function of e^x is ln(x)

So Apply ln x on both sides we get,

=> ln y = ln ( x ^ 2 × e ^ x )

ln(ab) = ln a + ln b

=> ln y =  ln (x^2) + ln ( e^x )

ln( a^x) = x ln a

=> ln y = 2 ln x + x ln e

ln e = 1

=> ln y = x + 2 ln x