Differentiation of trigonometric functions How to find the differential of the fifth power of cosx?

Differentiation of trigonometric functions How to find the differential of the fifth power of cosx?


d[(cosx)^5]=5(cosx)^4d(cosx)=5(cosx)^4(-sinx)dx=-5sinx(cosx)^4dx



The approximate value of root 0.96 is obtained by differential





The approximate value of triple root 996 is obtained by differential method
emergency


It's 1000-4 to the (1 / 3) power. You use binomial expansion to see what your accuracy requirements are. Take n, take the first number of terms, and finally get the approximate solution
It's not as good as if you have very low requirements
1000^(1/3)*4^0=10