Differential TheoremsRolle's Theorem If exists in interval and , then there is a value for which holds true. Mean-value Theorem If exists in interval , then there is a value for which holds true. L'Hospital's Theorem Let be differentiable near , and and . If exists, then Taylor's Theorem If is differentiable times in an interval including , then there is a value that satisfies Maclaurin's Theorem If is differentiable times in an interval including 0, then there is a value that satisfies Taylor series/Maclaurin series When is differentiable an infinite number of times and Example of Maclaurin series [0]Top |