2 Derivative of y = eX LEARNING OBJECTIVE: Determine the derivative of the natural exponential function. iii'i"? M? QNSWEF'E 6 - Applications of Rates of Change LEARNING OBJECTIVE: Solve applications involving rates of change. KOOOD A softball is thrown off of a building that is 80 meters high at a velocity of 10 meters per second. Its height, in meters, after t seconds is h(t) = - 4.9t2 + 10t +80. Find the velocity of the softball after 3 seconds. O a.) 65.9 meters per second O b.) -65.9 meters per second O c.) -19.4 meters per second d.) 19.4 meters per second SUBMIT MY ANSWER4 - Derivatives of Natural Logarithmic Functions LEARNING OBJECTIVE: Determine the derivative of a natural logarithmic function. KOOOD 5x4 Find the derivative of y = In COSX a.) dy 4 O + tanx dx X b.) dy 1 4 O dx 5 + - X + tanx C.) dy O dx = In(5) + 4In(x) -In(cosx) d.) dy 4 O dx COSX SUBMIT MY ANSWER1 The Chain Rule LEARNING OBJECTIVE: Apply the chain rule to determine the derivative of a composite function. iii'i"? M? JENSWEE? 3 Derivative of y = aX LEARNING OBJECTIVE: Determine the derivative of a general exponential function Find the derivative of .-'"' - '= i 3' i ' EEUEMIT MY f'WER 5 Derivatives of Non-Natural Logarithmic Functions LEARNING OBJECTIVE: Determine the derivative of a nonnatural logarithmic function. Find the derivative of .I'" - I: I |.;-..:;,_I - 3' "-u". SUBMIT MY