How Do I Know Which Derivative Rule to Use
Here is a general and personal guideline in terms of what to try first-Attempt to simplify the given expression. We set fx sin x and gx cos x. Derivative Rules Ap Calculus Calculus Math Methods The derivative rules article tells us that the derivative of tan x is sec2 x. . If we are asked to find the derivative of a function within a function then we use the Chain Rulewhich boils down to. The derivative of a function describes the functions instantaneous rate of change at a certain point. The initial function was differentiable ie. D dx xn lim x0 xxn xn x. This calls for using the chain rule. Once weve established the derivative rules we can use them to find derivatives more efficiently than using the definition each time. Extend the power rule to functions with negative exponents. The chain rule tells us how to find the derivative of a composite function. We will do some of the easier cases now and discus...