MATH 1550 : Calculus I Study Guide Test 2

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15 Mar 2019
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In this section we cover our first rule concerning derivatives. The power rule involves multiplying the term by the exponent and then subtracting one from the exponent itself. We also found out several rules for a derivative that involve the addition or subtraction of functions or multiplication by a constant to a function. A special case was developed when taking the derivative of the irrational number (e). In this section we learned to take the derivatives of functions that were multiplied together or divided by one another. A simple way to remember the quotient rule was: [(low)(d of the high) - (high)(d of the low)]/(low)2. This section was about the derivatives of trigonometric functions. We found the derivative of sine (the slope of sine at any point) matched the graph of cosine itself. The same was almost similarly true to the derivative of cosine. Using these two derivatives we can discover the other four derivatives of the trigonometric functions.