Derivatives of Inverse Trigonometric FunctionsĪ: Trigonometric derivatives are the derivatives of the trigonometric functions. The expression that results from this process, leads to the corresponding derivatives of trigonometry. Here, a rule of quotient is applied in order to differentiate the function. It can be evaluated through the usage of cos(x) and sin(x). The student should know that there are derivatives of circular trigonometric functions. This will enable to find the derivative of the particular function in question. At any given value of x and from the general expression of the slope of a curve, it is possible for a student to differentiate a function. ![]() ![]() The derivative of a trigonometric function can be found by using algebra. It is possible to show from the first principles that derivatives of tangent, cosine, and sine functions are given as d(tanx)/dx=sec2x, d(cosx)/dx=sinx, and d(sinx)/dx=cosx.
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