Question

Найти производную функции y=x3-3x

Answer 1

X в 3 степени?
если да,то у=3х^2-3

Answer 2

$y=x^3-3x$

$y'=3x^2-3$

Answer 3

Derivative of the Function y = x^3 - 3x

To find the derivative of the function y = x^3 - 3x, we can use the power rule of differentiation. According to the power rule, the derivative of x^n with respect to x is n*x^(n-1).

Applying the power rule to the given function, we differentiate each term separately:

1. Differentiating the term x^3: - The power rule states that the derivative of x^n with respect to x is n*x^(n-1). - In this case, n = 3, so the derivative of x^3 is 3*x^(3-1) = 3*x^2.

2. Differentiating the term -3x: - The power rule states that the derivative of x^n with respect to x is n*x^(n-1). - In this case, n = 1, so the derivative of -3x is -3*x^(1-1) = -3*x^0 = -3.

Therefore, the derivative of the function y = x^3 - 3x is y' = 3*x^2 - 3.

Answer: The derivative of the function y = x^3 - 3x is y' = 3*x^2 - 3.