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State howderivative exponent rule

User Robert Li
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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:

User Mrtedweb
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