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Find $f^{\prime}(x)$$$f(x)=\csc x \cot x$$

$$f^{\prime}(x)=-\csc x \cot ^{2} x-\csc ^{3} x$$

Calculus 1 / AB

Chapter 2

THE DERIVATIVE

Section 5

Derivatives of Trigonometric Functions

Functions

Limits

Derivatives

Differentiation

Continuous Functions

Applications of the Derivative

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:39

Find $$f^{\prime}(a)$$…

01:01

Find $f^{\prime}(x), f^{\p…

00:30

05:53

Find $f^{\prime}(x)$$$…

0:00

Find $ f'(a) $.

01:21

Find $f^{\prime}(x)$ and $…

02:10

01:27

02:49

Find $ f'(x) $ and $ …

01:46

F Prime of X is the derivative f of X, so it's equal to the derivative of coast. He can't x Times co tenant does. And, um, because this multiplying two functions so weaken use the product rule, which tells us this is equal to the derivative of co seeking Tex 10 times coat and index plus Cosi context times the derivative of CO tange Index. So on the next line, in place of the derivative of co seek index weekend right negative co seek and X co tangent ticks and then we have another go tanning tax from the previous line and we'll add and I'm gonna move everything over. So yet more space. Now we have cosi contexts times the derivative of CO Tansi Index, which is negative, of course, Eakins Ah, squared picks. And lastly, we can use exploding laws to combine this with this and this with this. So our final answer is negative. Co second x co tensions squared. Okay, co tangent squared X, um minus. And I think I'm just taking this minus sign to the outside here who have minus ako seek and Cubed X. That's our finalists here for crying of X

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