Question

ПОМОГИТЕ СРОЧНО РЕШИТЬ ДАМ 100 БАЛЛОВ​

Answer 1

$1)\; \; f(x)=\Big(\frac{2}{x^3}+x^3\Big)^5\\\\f'(x)=5\cdot \Big(\frac{2}{x^3}+x^3\Big)^4\cdot \Big (-\frac{6}{x^4}+3x^2\Big)\\\\f'(1)=5\cdot 3^4\cdot (-3)=-1215\\\\\\2)\; \; f(x)=\Big(\frac{1}{x}-x^4\Big)^{10}\\\\f'(x)=10\cdot \Big(\frac{1}{x}-x^4\Big)^{9}\cdot (-\frac{1}{x^2}-4x^3)\\\\f'(1)=10\cdot 0\cdot (-5)=0$

$3)\; \; f(x)=\Big(5x^2-3x\Big)^4\\\\f'(x)=4\cdot \Big(5x^2-3x\Big)^3\cdot (10x-3)\\\\f'(1)=4\cdot 8\cdot 7=224\\\\\\4)\; \; f(x)=\Big(5x^5-4x^4\Big)^{23}\\\\g'(x)=23\cdot \Big(5x^5-4x^4\Big)^{22}\cdot (25x^4-16x^3)\\\\f'(1)=23\cdot 1\cdot 9=207$