The deriviative of sine(x) is cosine(x).
(cosx)^2-(sinx)^2
The derivative of sin(x) is cos(x).
-sinx
f(x) sinx f`(x) = cosx
f(x)=sinx+cosx take the derivative f'(x)=cosx-sinx critical number when x=pi/4
Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x
d/dx(sinx-cosx)=cosx--sinx=cosx+sinx
-cos(x)
2
d/dx(-cosx)=--sinx=sinx
d/dx (-cscx-sinx)=cscxcotx-cosx
derivative (7cosx) = -ln(7) 7cosx sinx dx