Question

Производная функции У=2х+10 y=-4x+8

Answer 1

Решение :
y=2x+10
0=2x+10
X=-5
Ответ:-5
Решение:
y=-4x+8
0=-4x+8
X=2
Ответ:2

Answer 2

To find the derivatives of the given functions, we'll apply the rules of differentiation. The derivatives of the functions will give us their rates of change with respect to the independent variable 'x.'

1. Derivative of y = 2x + 10 with respect to x:

To find dy/dx, which represents the derivative of y with respect to x, we take the derivative of each term in the equation separately. The derivative of a constant is zero, and the derivative of x^n is nx^(n-1).

y = 2x + 10

Taking the derivative of 2x with respect to x: d/dx (2x) = 2

Taking the derivative of the constant 10 with respect to x: d/dx (10) = 0

So, the derivative of y with respect to x (dy/dx) is: dy/dx = 2

2. Derivative of y = -4x + 8 with respect to x:

Following the same process as before:

y = -4x + 8

Taking the derivative of -4x with respect to x: d/dx (-4x) = -4

Taking the derivative of the constant 8 with respect to x: d/dx (8) = 0

So, the derivative of y with respect to x (dy/dx) is: dy/dx = -4

In summary:

For the function y = 2x + 10, the derivative is dy/dx = 2. For the function y = -4x + 8, the derivative is dy/dx = -4.