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Find the derivatives of the given functions.$$s=3 \ln \sin ^{2} t$$

$\frac{d s}{d t}=4 \cot t$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 5

Derivative of the Logarithmic Function

Derivatives

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Yeah we want to find the derivative dy dx for the function. Why is equal to three times the natural algorithm of science squared X. This question is testing our knowledge. Mhm of differentiation. Shortcuts for transcendental functions in particular for the natural algorithm or the logarithmic functions. So we have relevant rules for doing is taking here on the left. We have rules for GDX lobby view and Ellen you on the right. We have rules for the power rule, product rule and change respectively. And this problem we need to use rule zero and three to solve why equals three Ln sine squared X. Sorry. And so it's easily defensible form. We have we're going to use DB X. L. N. U. Where U. S. Science great hacks to solve so do I. D. X. Is three times one over. You won over times square X times the U. D. X. To see Mexico sex, canceling our factor of signing the new reader and simplifying gifts. Do I. D. X equals six co sex over Synnex. Or more simply do I. D. X. Equals six. Co tangent of X.

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