Derivative Of Sinxcosx Using the linearity of the derivative and product rule this would be d dx 2sinx cosx 2 sinx d dx cosx d dx sinx cosx
We can immediately write y sinxcosx as y 1 2sin 2x Now we use the chain rule to find the derivative y 2 1 2 cos 2x cos 2x The line x 2y 3 y 3 2 1 2x Has slope 1 2 So if we set the derivative to 1 2 and solve we should get the points where the derivative equals 1 2 or the tangent line is parallel to x 2y 3 1 2 cos 2x arccos 1 2 Y 2 sinx cosx 2 Start by taking a look at your function y sinx cosx sinx cosx Notice that this function is actually the quotient of two other functions let s call them f x and g x f x sinx cosx g x sinx cosx This means that you can differentiate this function by using the quotient rule which allows you to find the derivative of a function that s
Derivative Of Sinxcosx
Derivative Of Sinxcosx
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Notice that your function is actually the quotient of two other functions which means that you can use the quotient rule to determine its derivative More specifically those two functions are f x 1 and g x sinx cosx such that your function can be written as y f x g x 1 sinx cosx How do you find the derivative of y e x sinx cosx Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Base e 1 Answer
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Using the linearity of the derivative and product rule this would be d dx 2sinx cosx 2 sinx d dx cosx d dx sinx cosx
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We can immediately write y sinxcosx as y 1 2sin 2x Now we use the chain rule to find the derivative y 2 1 2 cos 2x cos 2x The line x 2y 3 y 3 2 1 2x Has slope 1 2 So if we set the derivative to 1 2 and solve we should get the points where the derivative equals 1 2 or the tangent line is parallel to x 2y 3 1 2 cos 2x arccos 1 2
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