Question

let f(x)= 4e^xcosx^ what is f '(x)?

Answer 1

If f(x)=4e^xcos(x), f'(x)=4e^xcos(x)-4e^xsin(x)=4e^x(cos(x)-sin(x));

If f(x)=4e^xcos²(x), f'(x)=4e^xcos²​(x)-8e^xcos(x)sin(x)=4e^xcos(x)(cos(x)-2sin(x));

If f(x)=4e^xcos(x²), f'(x)=4e^xcos(x²​)-8xe^xsin(x²).