Differentiation Rules & Rates of Change Flashcards

Chapter 3.2
Page 127

918319291	Constant Rule	d/dx [ c ] = 0 y=c ,a horizontal line
918319292	Power Rule	d/dx [xⁿ] = n × (nⁿ⁻¹)
918319293	Constant Multiple Rule	d/dx [ c × f(x) ] = c * d/d× [ f(x) ] = c × f ' (x)
918319294	Sum and Difference Rules	d/dx [ f(x) ± g(x) ] = d/dx [ f(x) ] ± d/dx [ g(x) ] = f '(x) ± g '(x)
918319295	Derivatives of Sine and Cosine Functions	d/dx [ sinx ] = cosx d/dx[ cosx ] = −sinx
918319296	Natural Exponential Function	d/dx [ eⁿ ] = eⁿ
918319297	Rates of Change	Rate of change of one variable with respect to another variable.
918319298	Average Velocity	∆s/∆t " position at time 't' "
918319299	Average Acceleration	∆v/∆t " position at time 't' "