Question

Найти производные указанных функций

Answer 1

$(8x^{10} - frac{3}{x^4} +6)' = 8 * 10x^9 -(-3 * frac{4x^3}{(x^4)^2}) = frac{80x^{14}+12}{x^5} \\ (cos(4x-1)*e^{sin(x)})' = - sin(4x-1)*4e^{sin(x)} + \ + cos(4x-1)*e^{sin(x)}*cos(x) \\ (sin(sqrt{2x+1})' = cos(sqrt{(2x+1)}* frac{1}{2sqrt{2x+1}} * 2 = \ = frac{cos(sqrt{2x+1})}{sqrt{2x+1}}$