Question

(x – 5)' = 5(9 – 2x)

Answer 1

Ответ:

кажется так будет ну как я знаю

Answer 2

To solve the equation (x - 5)' = 5(9 - 2x), let's first simplify it step by step:

1. Start with the original equation: (x - 5)' = 5(9 - 2x)

2. Calculate the derivative of the left side with respect to x: d/dx(x - 5) = 5(9 - 2x)

3. The derivative of x with respect to x is simply 1, and the derivative of a constant (in this case, -5) is 0. So, the left side simplifies to: 1 = 5(9 - 2x)

4. Now, distribute the 5 on the right side of the equation: 1 = 45 - 10x

5. To isolate the variable x, subtract 45 from both sides: 1 - 45 = -10x

6. Simplify the left side: -44 = -10x

7. Finally, divide both sides by -10 to solve for x: (-44) / (-10) = x

8. The final result is: x = 22

So, the solution to the equation (x - 5)' = 5(9 - 2x) is x = 22.