## Calculus 10th Edition

$f'(x)=10x^4-8x^3-21x^2-10x-30.$
Product Rule: $f'(x)=((u(x)(v(x)w(x))’=u’(x)v(x)w(x)+u(x)v’(x)w(x)$ $+u(x)v(x)w'(x)$ $u(x)=(2x^3+5x) ;u’(x)=(6x^2+5)$ . $v(x)=(x-3) ;v’(x)=1$ . $w(x)=(x+2);w'(x)=1$ . $f'(x)=(x+2)(2x^3+5x)+(x-3)(2x^3+5x)$ $+(x-3)(x+2)(6x^2+5)=10x^4-8x^3-21x^2-10x-30.$