math: use actual chain rule

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eggy 2020-10-22 19:21:33 -04:00
parent 2e001e7e7b
commit 236821d1ff

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@ -494,8 +494,8 @@ $$f´(x) = \frac{g´(x)h(x)-g(x)h´(x)}{[h(x)]^2}, h(x) ≠ 0$$
$$f´(x) = \frac{2(x-1) - (2x+5)·1}{(x-1)^2}$$ $$f´(x) = \frac{2(x-1) - (2x+5)·1}{(x-1)^2}$$
$$f´(x) = -\frac{7}{(x-1)^2}$$ $$f´(x) = -\frac{7}{(x-1)^2}$$
The **mini chain rule** (to be replaced by the actual chain rule) applies to all functions of the form $f(x) = [g(x)]^n$ such that: The **chain rule** applies to all functions of the form $f(x) = g(h(x))$ such that:
$$f´(x) = n[g(x)]^{n-1}·g´(x)$$ $$f´(x) = g´(h(x)) · h´(x)$$
??? example ??? example
$$f(x) = (4x^2-3x+1)^7$$ $$f(x) = (4x^2-3x+1)^7$$