Answer: The derivative exponent rule states that if y = f(x)^n, where n is a constant, then the derivative of y with respect to x is:
dy/dx = n*f(x)^(n-1)*f'(x)
In other words, to take the derivative of a function raised to a constant power, we multiply the constant power by the function raised to one less power, and then multiply by the derivative of the function.
For example, if y = (3x^2 + 2x - 1)^4, then we can use the exponent rule to find the derivative:
dy/dx = 4*(3x^2 + 2x - 1)^3*(6x + 2)
Note that this rule can be generalized to include the case where the exponent is a variable function of x. In that case, we would use the chain rule along with the exponent rule to find the derivative.
Explanation: