Answer:
In calculus, the power rule is used to differentiate functions of the form f(x) = x^r, whenever r is a real number. Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
For any real number n, the product of the exponent times x with the exponent reduced by 1 is the derivative of a power of x, which is known as the power rule. Suppose f (x)= x n is a power function, then the power rule is f ′ (x)=nx n-1 . This is a shortcut rule to obtain the derivative of a power function.
