Question

F(x)=(5x^2-x+3)' надо решить срочно​

Answer 1

Ответ:

Правило дифференцирования: (u +/- v)' = (u)' +/- (v)'

(5x^2-x+3)' = (5x^2)' - (x)' + (3)' = 5*2x-1+0 = 10x-1

Пошаговое объяснение:

(x)' = 1

(5x^2) = 5* 2x^1 = 5*2x = 10x

(3)' = 0

Answer 2

Problem Statement

You need to find the derivative of the function F(x) = 5x^2 - x + 3.

Solution

To find the derivative of a function, we can use the power rule, which states that the derivative of x^n is n*x^(n-1). Applying this rule to each term of the function, we get:

F'(x) = (5x^2)' - (x)' + (3)'

Now, let's differentiate each term separately:

- The derivative of 5x^2 is 10x. - The derivative of -x is -1. - The derivative of 3 is 0 (since it is a constant).

Putting it all together, we have:

F'(x) = 10x - 1 + 0

Simplifying, we get:

F'(x) = 10x - 1

Therefore, the derivative of the function F(x) = 5x^2 - x + 3 is F'(x) = 10x - 1.

Please let me know if you need any further assistance!