Use the local linear approximation of f(x) to find 1.1^(12) to 4 decimal places. 



Differentiate the given function f(x)=(5)(2x^8). 



Find all critical numbers for the function f(x)=(9x^2)^(35). (From least to greatest and no commas) 



Use the local linear approximation of f(x) to find 9.2^(12) to 3 decimal places. 



The horizontal asymptotes of f(x)=(6x+1)((4x^2+6x+9)^(12)) are ___ and ___. 



If fâ(x) > 0 for every x in (a,b) then f is ___. 



Find the derivative of f(x)=(sinx)(sinx+cosx) in its simplest form. (No parentheses or spaces) 



Use the local linear approximation of f(x) to find 65^(13) to 4 decimal places 



Let f ââ(x)=3x+4 and let f(x) have critical numbers at 2, 0, 2. Use the Second Derivative Test to determine which, if any, of the critical numbers gives a relative maximum 



Evaluate the limit as x approaches negative infinity of (9x^21)^(1/2)/x 



Evaluate the limit as x approaches infinity of (14x^4+13x^243)/(7x^4+3x+12) 



The graph of f(x)=(x)/(x+3) is concave upward on the interval____ to ____. 



Find x value(s) at point(s) of inflection for f(x)=x^312x^2 



Mean Value Theorem does not apply to function f(x)=(3x+2)/(x3) on the interval [5, 5] because f(x) is not_____ at x=3. 



What is the x value for the relative minimum for the function f(x)=(x+1)^2(x+3)? 



What do you call a third derivative? A ____! 


