Calculate the higher-order derivatives of the sine and cosine. Find the derivatives of the standard trigonometric functions.So y = 3v3.ĬALCULUS TRIGONOMETRIC DERIVATIVES AND INTEGRALS STRATEGY FOR EVALUATING R sinm(x)cosn(x)dx (a) If the power n of cosine is odd (n =2k +1), save one cosine factor and use cos2(x)=1sin2(x)to express the rest of the factors in terms of sine: Z sinm(x)cosn(x)dx = Z sinm(x)cos2k+1(x)dx = Z sinm(x)(cos2(x))k cos(x)dx = Z sinm(x)(1sin2(x))k cos(x)dx.
Example 1: Example 2: Find the derivative of y = 3 sin3 (2x4 + 1). The following table summarizes the derivatives of the six trigonometric functions, as well as their chain rule counterparts (that is, the sine, cosine, etc. Derivatives of trig functions cheat sheet
