Question

y=sin(4-x)*x^5 производная

Answer 1

$(sin(4-x)cdot x^5)'=(sin(4-x))'cdot x^5+sin(4-x)cdot(x^5)'=\=cos(4-x)cdot(4-x)'cdot x^5+5x^4sin(4-x)=\ =5x^4sin(4-x)-x^5cos(4-x)$

Answer 2

$y'=(sin(4-x)*x^5)'=(sin(4-x))'*x^5+sin(4-x)*(x^5)'= \ \ = -cos(4-x)*x^5+5x^4sin(4-x)=5x^4sin(4-x)-x^5cos(4-x)$