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h_k331
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When y=sin(pi*x), why does y'=cos(pi*x)*pi, not y'=cos(pi*x)?
hk
hk
That is correct.h_k331 said:So than in this case y=f(u)=sinu and u=g(x)=pi*x, correct?
Trigonometric Differentiation is a method used to find the derivative of a trigonometric function. It involves applying the rules of differentiation to trigonometric functions such as sine, cosine, tangent, etc.
Trigonometric Differentiation is important in many areas of science and engineering, particularly in physics and calculus. It allows us to calculate the slope or rate of change of trigonometric functions, which is essential in solving many real-world problems.
The basic rules of Trigonometric Differentiation include the power rule, product rule, quotient rule, and chain rule. These rules are used to find the derivatives of trigonometric functions and can be combined to find the derivative of more complex functions.
To differentiate a trigonometric function, you first identify the function and then apply the appropriate rule(s) of differentiation. For example, to differentiate sin(x), you would use the chain rule by taking the derivative of the outer function sin(x) and multiplying it by the derivative of the inner function x.
Some common mistakes when differentiating trigonometric functions include forgetting to apply the chain rule, using the incorrect rule of differentiation, and making algebraic errors. It is important to carefully follow the steps and rules of differentiation to avoid these mistakes.