3-Calculus-Differentiation-Function-Multiple

sum of terms differentiation

For sum of terms {sum of terms differentiation}, find sum of differentials. For h(x) = f(x) + g(x), dh(x) = df(x) + dg(x).

product of functions differentiation

For product of functions {product of functions differentiation}, add second function times first-function differential and first function times second-function differential: g(x) * df(x) + f(x) * dg(x).

quotient of functions differentiation

For quotient of functions {quotient of functions differentiation}, multiply second function by first-function differential: g(x) * df(x). Then subtract first function times second-function differential: g(x) * df(x) - f(x) * dg(x). Then divide by second function squared: (g(x) * df(x) - f(x) * dg(x)) / (g(x))^2.

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Date Modified: 2022.0225