![]() ![]() and is defined as f x and is defined as dx dx n equation of the tangent line at x a is time x then f a is the velocity of f x f x, the derivative of the f n x f n 1.ģ X, the derivative of given by y f a f a x a. If f x is the position of an object at f x f x 2. ![]() ![]() 2 d f n dn f line to y f x at x a and the 3. m f a is the slope of the tangent change of f x at x a. f a is the instantaneous rate of Higher Order Derivatives The Second Derivative is denoted as The nth Derivative is denoted as 1. dx 1 f x Interpretation of the Derivative If y f x then, 2. sec f ( x ) f ( x ) sec f ( x ) tan f ( x ).Ģ Df dy d df dy dx f x dx f x y f x Df x f a y x a Df a d f x dx dx dx dx x a dx x a d 8. notations for derivative evaluated at x a. tan f x f x sec 2 f x If y f x then all of the following are If y f x all of the following are equivalent dx dx d f x d equivalent notations for the derivative. cos f x f x sin f x h 0 h dx dx d f x f x d 2. f x h f x d n n 1 d If y f x then the derivative is defined to be f x lim. 1 Calculus Cheat Sheet Calculus Cheat Sheet Derivatives Chain Rule Variants Definition and Notation The chain rule applied to some specific functions. ![]()
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