$\frac{d}{dx}(e^{2\log_ex^3})$ equals
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $6x^5$
Given: $y = e^{2 \ln x^3}$
Simplify exponent: $2 \ln x^3 = 2 * 3 \ln x = 6 \ln x$
So $y = e^{6 \ln x} = x^6$
$\frac{dy}{dx} = 6x^5$
Answer: $6x^5$