When we do the implicit differentiation of trig functions, then just apply the normaltrig derivativessuch as d/dx(sin x) = cos x, d/dx(cos x) = - sin x, etc and then apply chain rule. It means we should multiply the actual derivative by the derivative of the inside function. For ...
Differentiation Rules (Differential Calculus) 1. Notation The derivative of a function f with respect to one independent variable (usually x or t) is a function that will be denoted by Df . Note that f (x) and (Df )(x) are the values of these functions at x. 2. Alternate Notations ...
Rules of Partial Differentiation Just like regular derivatives, partial derivatives follow the product rule, quotient rule, power rule, and chain rule. Product Rule The derivative of the product of two univariate functions f and g can be found using the following formula: ddx(f(x)⋅g(x))=...