Calculo: De Derivadas

[ \fracddx[f(x) \cdot g(x)] = f'(x) \cdot g(x) + f(x) \cdot g'(x) ]

The slope of the tangent line to the curve at the point ( (x, f(x)) ). calculo de derivadas

This article provides a step-by-step guide to calculating derivatives, starting from the formal definition and progressing through essential rules, special techniques (implicit and logarithmic differentiation), and higher-order derivatives. For a function ( y = f(x) ), the derivative, denoted ( f'(x) ) or ( \fracdydx ), is defined as the limit of the difference quotient as the interval approaches zero: [ \fracddx[f(x) \cdot g(x)] = f'(x) \cdot g(x)