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Study23
 3 years ago
It's the Chain Rule!
Study23
 3 years ago
It's the Chain Rule!

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Study23
 3 years ago
Best ResponseYou've already chosen the best response.0\(\ \large \text{Find the derivative: } \) \(\ \Huge y=sin(tansinx^{\frac{1}{2}}).\)

geerky42
 3 years ago
Best ResponseYou've already chosen the best response.1Derivative outer function and left inner functions untouched, then derivative inner, left another inner functions untouched, then derivative innerinner function, and so on. f(x) = sin x, g(x) = tan x, h(x) = sin x i(x) = √x, \(f(g(h(i(x)))) = sin(tan(sinx^{\frac{1}{2}})\) \[\frac{d}{dx} f(g(h(i(x)))) = f'(g(h(i(x)))) \cdot g'(h(i(x))) \cdot h'(i(x)) \cdot i'(x)\]
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