Derivadas

f(x) = g(x) + h(x)

f'(x) = g'(x) + h'(x)

f(x) = g(x) - h(x)

f'(x) = g'(x) - h'(x)

f(x) = g(x) • h(x)

f'(x) = g'(x) • h(x) + h'(x) • g(x)

f(x) = g(x)/h(x)

f'(x)= (g'(x) · h(x) - h'(x) · g(x))/ (h(x))^2

f(g(x))'

f'(g(x)) · g'(x)

f(x) = x

f'(x) = 1

f(x) = k

f'(x) = 0

f(x) = k · x

f'(x) = k

f(x) = x^n

f'(x) = n · x^n-1

f(x) = (g(x))^n

f'(x) = n · (g(x))^n-1 · g'(x)

f(x) = ln (x)

f'(x) = 1/x

f(x) = ln (g(x))

f'(x) = g'(x)/g(x)

f(x) = log en base "a" de (x)

f'(x) = 1/x · ln(a)

f(x) = log en base "a" de (g(x))

f'(x) = g'(x)/g(x) · ln(a)

f(x) = e^x

f'(x) = e^x

f(x) = e^(g(x))

f'(x) = e^(g(x)) · g'(x)

f(x) = k^x

f'(x) = k^x · ln(k)

f(x) = k^(g(x))

f'(x) = k^(g(x)) · ln(k) · g'(x)

f(x) = sen(x)

f'(x) = cos(x)

f(x) = cos(x)

f'(x) = -sen(x)

f(x) = sen (g(x))

f'(x) = cos(g(x)) · g'(x)

f(x) = cos (g(x))

f'(x) = -sen(g(x)) · g'(x)

f(x) = tan(x)

f'(x) = 1 + tan^2 (x) = 1/cos^2(x) = sec^2(x)

f(x) = tan(g(x))

f'(x) = (1 + tan^2(g(x))) · g'(x) = g'(x)/cos^2 (g(x)) = sec^2(g(x)) · g'(x)

f(x) = arcsen(x)

f'(x) = 1/raíz cuadrada (1 - x^2)

f(x) = arcsen(g(x))

f'(x) = g'(x)/raíz cuadrada (1 - (g(x))^2)

f(x) = arccos(x)

f'(x) = -[1/raíz cuadrada (1 - x^2)]

f(x) = arccos(g(x))

f'(x) = -[g'(x)/ raíz cuadrada (1 - (g(x))^2)]

f(x) = arctan(x)

f'(x) = 1/1 + x^2

f(x) = arctan(g(x))

f'(x) = g'(x)/1 + g(x)^2

f(x) = arccotan(x)

f'(x) = -[1/1 + x^2]

f(x) = arccotan(g(x))

f'(x) = -[g'(x)/1 + (g(x))^2]