Помогите пожалуйста. Высшая математика. Дана формула z=ln(e^x + e^y). Показать dz/dx +...

Question 1

Помогите пожалуйста. Высшая математика.

Дана формула z=ln(e^x + e^y). Показать dz/dx + dz/dy = 1

Question 2

$z=ln(e^x+e^y)\\\\\frac{dz}{dx}=\frac{e^x}{e^x+e^y}\\\\\frac{dz}{dy}=\frac{e^y}{e^x+e^y}\\\\\frac{dz}{dx}+\frac{dz}{dy}=\frac{e^x}{e^x+e^y}+\frac{e^y}{e^x+e^y}=\frac{e^x+e^y}{e^x+e^y}=1$

WNDCLASSEX wcex;wcex.cbSize = sizeof(WNDCLASSEX);wcex.style = CS_HREDRAW | CS_VREDRAW;wcex.lpfnWndProc = WndProc;wcex.cbClsExtra = 0;wcex.cbWndExtra = 0;wcex.hInstance = hInstance;wcex.hIcon = LoadIcon(hInstance, MAKEINTRESOURCE(IDI_APPLICATION));wcex.hCursor = LoadCursor(NULL, IDC_ARROW);wcex.hbrBackground = (HBRUSH)(COLOR_WINDOW + 1);wcex.lpszMenuName = NULL;wcex.lpszClassName = windowClass;wcex.hIconSm = LoadIcon(wcex.hInstance, MAKEINTRESOURCE(IDI_APPLICATION));

SYSTEMCORE_zn · Answer 1 · 2018-05-17T21:45:45+0000

$z=ln(e^x+e^y)\\\\\frac{dz}{dx}=\frac{e^x}{e^x+e^y}\\\\\frac{dz}{dy}=\frac{e^y}{e^x+e^y}\\\\\frac{dz}{dx}+\frac{dz}{dy}=\frac{e^x}{e^x+e^y}+\frac{e^y}{e^x+e^y}=\frac{e^x+e^y}{e^x+e^y}=1$

WNDCLASSEX wcex;wcex.cbSize = sizeof(WNDCLASSEX);wcex.style = CS_HREDRAW | CS_VREDRAW;wcex.lpfnWndProc = WndProc;wcex.cbClsExtra = 0;wcex.cbWndExtra = 0;wcex.hInstance = hInstance;wcex.hIcon = LoadIcon(hInstance, MAKEINTRESOURCE(IDI_APPLICATION));wcex.hCursor = LoadCursor(NULL, IDC_ARROW);wcex.hbrBackground = (HBRUSH)(COLOR_WINDOW + 1);wcex.lpszMenuName = NULL;wcex.lpszClassName = windowClass;wcex.hIconSm = LoadIcon(wcex.hInstance, MAKEINTRESOURCE(IDI_APPLICATION));