CUET Preparation Today
$\frac{d}{dx}(e^{2\log_ex^3})$ equals |
$30x^4$ $6x^5$ $5x^6$ $3x^2$ |
$6x^5$ |
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: $6x^5$ |
