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 Front Back What is the derivative of ex? ex is the derivative What is the derivative of lnx? 1/x is the derivative What is the derivative of sinx? cosx is the derivative What is the derivative of cosx? -sinx is the derivative What is the derivative of tanx? 1/cos2x  or  sec2x is the derivative what is f(x) of f(x)=h(g(x))? f(x)=g(x)*h(g(x)) How do you convert degrees to radians? multiply by (π/180) to get this How do you convert radians to degrees? multiply radians by (180/π) to get this What does edec=? =ed+c What does ed/ec=? =ed-c What does (ed)c=? =ed*c What does ln e =? =1 Simplify ln7x ln7+lnx simplify elne^2 e2 simplify elne^2+13 = (elne^2)*(e13) > e2*e13> e15 what is the derivative of elnx =1 (elnx) = x, the deriv of x is 1 what is the derivative of cos2x (2(cosx))(−sinx) Sine wave Cosine wave What is the period of a cosine or sine wave? 2Π sin(0)=? 0 cosine(0)=? 1 a function is is a rule that takes certain numbers as inputs and assigns to each a definite outputnumber. The domain is the set of all input numbers is called this The range is the set ofresulting output numbers The set of numbers t such that a ≤ t ≤ b is written [a,b] The set of numbers t such that a < t < b is written (a,b) To recognize that a table of t and P values comes from an exponential function P = P0at,look for ratios of P values that are constant for equally spaced t values. Replacing y by (y − k) moves a graph moves a graph up by k (down if k is negative) Replacing x by (x − h) moves a graph to the right by h (to the left if h is negative). f is an even function if f(−x) = f(x) for all x. f is an odd function if f(−x) = −f(x) for all x. A function has an inverse if (and only if) its graph intersects any horizontal line at most once. f−1(y) = x means y = f(x) logx=C  means 10c=X means this lnx=c means ec=X elnx= x lnex= x cos2 t + sin2 t = = 1 (for t radians in a unit circle) Amplitude- Half the distance between the maximum and minimum values (if they exist) Period the smallest amount of time needed to complete one cycle Tan function has a period of Π
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