Question

Решение произвольные?

Answer 1

$f(x)=5x^6-2x-4,5\f'(x)=30x^5-2\\f(x)=frac3{x^9}-frac{x^8}4+4sqrt x\f'(x)=-frac{27}{x^{10}}-2x^7+frac2{sqrt x}\\f(x)=sin x(3-x^2)\f'(x)=cos x(3-x^2)-2xsin x\\f(x)=frac{x+6}{cos x}\f'(x)=frac{cos x+(x+6)sin x}{cos^2x}\\f(x)=(3x^3-1)(x+2)\f'(x)=3x^2(x+2)+(3x^3-1)=3x^3+6x^2+3x^3-1=6x^3+6x^2-1\\f(x)=(2x^8-3)^{15}\f'(x)=15(2x^8-3)^{14}cdot16x^7=240x^7(2x^8-3)^{14}\\f(x)=sin2x\f'(x)=3cos3x$