Question

ПОМОГИТЕ НАЙТИ ПРОИЗВОДНУЮ!!!!
f(x)=5arccos√x

Answer 1

1)f'(x)=(5arccos√x)'=--5/(√(1-(√x)²) *(√x)'=


=-5/√(1-x) *1/2*x^(1/2-1)=

-5/((2√x)*√(1-x))


2)(arccosx)'=-1/(√1-x²)

(xⁿ)'=n*x^(n-1)

(f(g(x)))'=f'(g(x))*g'(x)

(c*f(x))'=c'•f'(x) ;c=const