Find Derivative of Trigonometric Functions by Product Rule | Math Dot Com

Product rule is used to find derivative of trigonometric functions in this video.Whenever you came across the trigonometric functions multiplying with each other or if the trigonometric function is multiplying with a constant or some other function,product rule will be used to find their derivative.Two examples of finding derivative of trigonometric functions using product rule is explained in the video.For skipping ahead
Example #01:At 00:58
Example #02: At 03:18
Product rule formula is used to find the derivative of the trigonometric functions as:
f'(x)=h'(x)g(x) + h(x)g'(x)
Where h(x) and g(x) are the two trigonometric functions that are multiplying with each other and their derivative needs to be found.You need to know the derivatives of the basic trigonometric functions as below:
Derivative of Sinx=Cosx
Derivative of cosx=-Sinx
Derivative of Tanx=Sec^2x
Derivative of Cosecx=-CosecxCotx
Derivative of Cotx=-Cosec^2x
Derivative of Secx=SecxTanx
So In order to find the derivative of trigonometric functions above already calculated derivatives needs to be remembered.
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