Chain rule
5:07
Khan AcademySal Khan
Chain rule
The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x². Using the chain rule and the derivatives of sin(x) and x², we can then find the ...
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MathswithSK on Instagram: "Comment CR to get the notes in your inbox! Have you ever heard of the chain rule? It is an advanced technique of differentiation which we use when we have to deal with expressions that look like [f(x)]^n where f can be anything. We do this because the normal power rule won't suffice, as we have to factor in what's inside the bracket. The result? We do the power rule but extend it by taking the derivative of f and multiplying it. This will be, by far, the most used tech
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MathswithSK on Instagram: "Comment CR to get the notes in your inbox! Have you ever heard of the chain rule? It is an advanced technique of differentiation which we use when we have to deal with expressions that look like [f(x)]^n where f can be anything. We do this because the normal power rule won't suffice, as we have to factor in what's inside the bracket. The result? We do the power rule but extend it by taking the derivative of f and multiplying it. This will be, by far, the most used tech
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