A-Level Maths: G4-04 Differentiation: Further Examples of using the Chain Rule

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Thank you so much for making these videos - they're incredibly easy to follow and you cover all the different aspects/elements. Really struggling with using the chain rule twice - is there a video/example on it, as other channels don't seem to explain it well.

chrisgill
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Your videos are great. Will you be covering the Statistics and Mechanics for A level as well?

himmelblau
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How would you differentiate 3 to the power of x cubed ?

gurjeevanchahal
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what happened to taking one off the power at the end, like you had done in previous videos?

jazza
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Please could you show me how to differentiate y=(x-1/x)^-1/3

johnsergie
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I’m struggling with questions which require you to repeat the chain rule for more than 2 functions. Any tips?

jazza
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Hi. How would you differentiate 2sin^2t using = f(g(x)). Would g(x) be t and f being 2sin^2?. I know you can differentiate it by writing it as 2(sin(t))^2 where u can use dy/dx = n x f’(x) x f(x)^n-1. But I was wondering whether it’s possible to differentiate it by using dy/dx = g’(x) x f’(g(x)). Any suggestions?

FireFun-ettl
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im confused with q7 as i was told that ln(kx) just equals 1/x. so even if you have it would still be 1/x. great video btw, i appreciate it.

AfricanGotPace