Question

Derivada de
$y=(10)^3^-^x$

Answer 1

$\\ y = 10^3^-^x \\ \\ y' = 10^3^-^x*Ln10*(3-x)' \\ \\ y' = 10^3^-^x*Ln10*(-1) \\ \\ y' = -10^3^-^xLn10$

Answer 2

$\sf \displaystyle y=\left(10\right)^{3-x}\\\\\\\frac{d}{dx}\left(10^{3-x}\right)\\\\\\=\frac{d}{dx}\left(e^{\left(3-x\right)\ln \left(10\right)}\right)\\\\\\=e^{\left(3-x\right)\ln \left(10\right)}\frac{d}{dx}\left(\left(3-x\right)\ln \left(10\right)\right)\\\\\\=e^{\left(3-x\right)\ln \left(10\right)}\left(-\ln \left(10\right)\right)\\\\\\\to \boxed{\sf =-\ln \left(10\right)\cdot \:10^{3-x}}$