The derivative with respect to 'x' of sin(pi x) is
pi cos(pi x)
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d/dx(sinx-cosx)=cosx--sinx=cosx+sinx
d/dx(-cosx)=--sinx=sinx
derivative (7cosx) = -ln(7) 7cosx sinx dx
(cosx)^2-(sinx)^2
Using the Chain Rule :derivative of (sinx)2 = 2(sinx)1 * (derivative of sinx)d/dx (Sinx)2 = 2(sinx)1 * [d/dx (Sinx)]d/dx (Sinx)2 = 2(sinx) * (cosx)d/dx (Sinx)2 = 2 (sinx) * (cosx)d/dx (Sinx)2 = 2 sin(x) * cos(x)