What is the derivative of $f(x)=e^x+e^{x^2}+e^{x^3}+e^{x^4}+e^{x^5}+e^{x^6}+e^{x^7}$?
Answer & explanation
Correct answer: option 1
$f'(x)=\frac{d}{dx}(e^x)+\frac{d}{dx}(e^{x^2})+\frac{d}{dx}(e^{x^3})+\frac{d}{dx}(e^{x^4})+\frac{d}{dx}(e^{x^5})+\frac{d}{dx}(e^{x^6})+\frac{d}{dx}(e^{x^7})=e^x+2xe^{x^2}+3x^2e^{x^3}+4x^3e^{x^4}+5x^4e^{x^5}+6x^5e^{x^6}+7x^6e^{x^7}$