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Chain rule differentiation

find derivatives for tan(x^2+ 1)

Posted in Math, asked by Syie, 6 years ago. 1725 hits.


The chain rule says that for a function-within-a-function f(g(x)), the derivative is f'(g(x))g'(x).

In this case, f(x) is tan(x) and g(x) is x2+1

You also need to know d/dx tan(x) = sec2(x), which can be derived from d/dx sin(x)/cos(x) and using the quotient rule.

so d/dx tan(x2+1) = sec2(x2+1)*2x, or 2xsin2(x2+1).

Hope that helped!

Russell Ludlow
Russell Ludlow - 6 years ago
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