Derivadas !!top!!: Calculo De

[ f'(x) = \lim_h \to 0 \fracf(x+h) - f(x)h ]

Find the derivative of ( f(x) = x^2 ).

[ \fracddx\left[\fracf(x)g(x)\right] = \fracf'(x) g(x) - f(x) g'(x)[g(x)]^2 ] calculo de derivadas

[ \fracdydx = f'(g(x)) \cdot g'(x) ]

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: [ f'(x) = \lim_h \to 0 \fracf(x+h) -