Let y = 10^10x

Taking log both the sides:

⇒ log y = log 10^10x

⇒ log y = 10x log 10 {log x^a = alog x}

⇒ log y = (10log 10)x

Differentiating with respect to x:

{Here 10log (10) is a constant term}

Put 10^{10 x}: