Finding derivative with fundamental theorem of calculus: chain rule
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Finding derivative with fundamental theorem of calculus: chain rule
The Fundamental Theorem of Calculus tells us how to find the derivative of the integral from 𝘢 to 𝘹 of a certain function. But what if instead of 𝘹 we have a function of 𝘹, for example sin(𝘹)? Then we need to also use the chain rule.
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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
2:18
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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