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Prove Equation 4.
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Calculus 1 / AB
Harvey Mudd College
Idaho State University
In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.
In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.
we know that if why is close on H the negative one of acts in other words, the inverse then we know that co signed each of why is acts. Therefore, we know that sign. Each of why is plus or minus square of X squared minus one. Therefore we have either why is X plus a minus the square root of X squared minus one. Therefore, taking the natural of both sides, we have co sign each. The negative one is equivalent to the natural log of X plus the square root of X squared minus one. And remember, the X has to be greater than or equal to one.
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