![]() ![]() We have grown leaps and bounds to be the best Online Tuition Website in India with immensely talented Vedantu Master Teachers, from the most reputed institutions. Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. ![]() If the chain rule is applied to the composition of three functions, then the rule h(x) = f(g (k (x))) will be expressed as h’(x) = f’(g(k(x))). If h(x) = (g(x)) to the power of n, then h’(x) is the product of g’(x) and n(g(x)) to the power of (n - 1). The chain rule can be used along with the other rules to derive formulas in certain conditions.Ī new rule can be formed by combining the chain rule with the power rule. We can think of the chain rule as taking the derivative of the outer function (that is applied to the inner function) and multiplying it by the derivative of the inner function. This rule is also known as chain rule because we use it to take derivatives of composites of functions and this happens by chaining together their derivatives. The inner function, namely g equals (x + 3) and if x + 3 = u then the outer function can be written as f = u 2. For example, let us take the composite function (x + 3) 2. The chain rule allows the differentiation of functions that are known to be composite, we can denote chain rule by f∘g, where f and g are two functions. Here, in this article, we are going to focus on the Chain Rule Differentiation in Mathematics, chain rule examples, and chain rule formula example s. The concept of differentiation also allows us to find the rate of change of the variable x with respect to variable y, which plotted on a graph of y against x, is known to be the gradient of the curve. For example, d ifferentiation allows us to find the rate of change of velocity with respect to time (which gives us acceleration). Differentiation is used to find rates of change.
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