General Power Formula Differential Calculus Examples
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FAQ
Today, we discuss power functions in general. A power function is a function of the form. f(x) = xa, where a is any real number. We understand intuitively what it means to raise x to the power of a natural number n: we just multiply n copies of x together.
The power rule for integrals allows us to find the indefinite (and later the definite) integrals of a variety of functions like polynomials, functions involving roots, and even some rational functions. If you can write it with an exponents, you probably can apply the power rule.
The general power rule states that this derivative is n times the function raised to the (n-1)th power times the derivative of the function.
The general power rule of integration is another important formula of integration, and this rule needs th derivative of the given function within the problem. The general power rule of integration is of the form. 222bf(x)nf2032(x)dx=f(x)n+1n+1+c.
