derivative of secx (1/cosx) secxtanx arcsinx U prime/square root of 1-usquared arccos(x) -uprime/ square root of 1-usquared arctan(x) Uprime/ 1 + usquared y=x^n Nx to the n-1 power y=a^x y'=a^xlna y=x^sinx Cosxlnx times x to the power of sinx ...
The derivative of secx is $$\d{y}{x} secx =secx tanx $$ But if $$x = \frac{\pi}{3}$$, then $$secx = 2 $$ and the derivative of a constant is 0. And $$sec\frac{\pi}{3} tan\frac{\pi}{3}$$ is equal to $$\frac{3}{2}$$ So what is the derivative of $$secx...