Find , when
y = xn + nx + xx + nn
let y = xn + nx + xx + nn
⇒ y = a + b + c + m
where a= xn; b = nx ; c = xx ; m= nn
a= xn
Taking log both the sides:
⇒ log a= log xn
⇒ log a= n log x
{log xa = alog x}
⇒ log a= n log x {log e =1}
Differentiating with respect to x:
Put the value of a = xn
b = nx
Taking log both the sides:
⇒ log b= log nx
⇒ log b= x log n
{log xa = alog x}
Differentiating with respect to x:
Put the value of b = nx:
c = xx
Taking log both the sides:
⇒ log c= log xx
⇒ log c= x log x
{log xa = alog x}
Differentiating with respect to x:
Put the value of c = xx
m = nn