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 0 answersPost by abbas esmailzadeh on December 5, 2011trigonometric derivatives ex,4 in step 3x[-x csc(x)cot(x)-2csc(x)/x^4what is the opening bracketts after the first xand what is the( - )sign is after the first opening bracketts. 0 answersPost by StefÃ¡n Berg Jansson on November 25, 2011I try to help out, no promises tho... It will be good practice for me.@Ann CeaWhen she factored out x. If we think about it seperatly and factor only csc(x)*2x, we get the following.csc(x)*2x = csc(x)*2*x = x(csc(x)*2) = x(2csc(x))@Ron Weldy on February 25 at 09:21:47 AMIf it is only plugging in x then,y=1+2sinx;x=pie/6 y=1+2sin(pi/6)y=1+2*0,5(sin(pi/6) = 0,5)y=1+1 = 2If you were suppose to take the derivative first and then plug in x:y'=2cos(x) (1' = 0 and 2sin' = 2cos)Plug in pi/6 where x is2cos(pi/6)= 2*(sqrt(3)/2) = sqrt(3)@Nicolette Reillyf(x)=cos(pi/x)I will use the cain and the quotient rule.First I will use the cain rule and get:cos'(pi/x)*(pi/x)' = -sin(pi/x)*(pi/x)'Then I will use the quotient rule on (pi/x)'and then multiply it with -sin(pi/x)-sin(pi/x)*(0*x-pi*1)/x^2=(-sin(pi/x)*-pi)/x^2 = sin(pi/x)pi/x^2Hope I did not make any mistakes.. I often do 0 answersPost by Nicolette Reilly on November 17, 2011how do you find the derivative of f(x)=cos (pi/x) ? 0 answersPost by Ron Weldy on March 2, 2011Where do we go to ask questions? They said we could ask questions and get help is that true? 0 answersPost by Ron Weldy on February 25, 2011I have a problem that looks like y=1+2sinx;x=pie/6 I'm not sure what to do 0 answersPost by Ann Cea on December 27, 2010On example IV, where did the x go on the fourth step of the equation where it went from csc(x)2x to 2csc(x)?

### Trigonometric Derivatives

• You should memorize these formulas – they are important!
• The derivation of the results for and is famous and involves a couple famous limits.
• One type of problem here simply incorporates trigonometric functions into differentiation problems involving, for example, the Chain Rule.
• You can use the derivative formulas for and to derive the derivative formulas for the other trigonometric functions.

### Trigonometric Derivatives

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Six Basic Trigonometric Functions 0:11
• Patterns
• Lecture Example 1 1:18
• Lecture Example 2 7:38
• Lecture Example 3 12:15
• Lecture Example 4 14:25