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3. $ f(x) = (3x^2 - 5x)e^x $
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Calculus 1 / AB
The Product and Quotient Rules
University of Nottingham
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.
he is Claire's when you wait here, so we're gonna differentiate the equation. FT over T x three X square, minus five X terms Feed to the axe. This becomes equal to three x square minus five X de over de X for eat. X plus eats the x d over T x three X square minus five x. This is equal to eat. The X Times three X square plus five plus x minus five
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