# How do you find the derivative of Inverse trig function #f(x)= 7t-14cos(x)+20#?

See the explanation below.

First off, even though it uses one, this is not a trig function and there is no inverse trig function.

Consequently,

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To find the derivative of the inverse trigonometric function ( f(x) = 7t - 14\cos(x) + 20 ), we apply the chain rule. The derivative of an inverse trigonometric function is given by (\frac{d}{dx}(\arccos(u)) = -\frac{1}{\sqrt{1-u^2}} \cdot \frac{du}{dx}), where ( u = \cos(x) ). Then, we differentiate ( u ) with respect to ( x ) and substitute it into the derivative expression.

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