Question

find the derivative of xⁿn power x log nx​

Answer 1

Answer:

$\frac{d}{dx} ( {x}^{n} \times {n}^{x} \times log(nx) )$

$\frac{d}{dx} ( {x}^{n} ) \times \frac{d}{dx} ( {n}^{x} ) \times \frac{d}{dx} ( log(nx)$

$n \times {x}^{n - 1} \times {n}^{x} \times log(n) \times \frac{1}{x} \times n$

${n}^{x + 2} \times {x}^{n - 2} \times log(n)$

Answer 2

log = nx. so answer = nx = log ×nx = n - x so log = nx