d/dx (c)
0
d/dx [f(x)g(x)]
f’(x)g(x)+g’(x)f(x)
d/dx [f(x)/g(x)]
[f’(x)g(x)-g’(x)f(x)] / [g(x)]2
d/dx [f(g(x))]
f’(g(x))g’(x)
d/dx [sin(x)]
cos(x)
d/dx [cos(x)]
-sin(x)
d/dx [tan(x)]
sec²(x)
d/dx [cot(x)]
-csc²(x)
d/dx [sec(x)]
sec(x)tan(x)
d/dx [csc(x)]
-csc(x)cot(x)
d/dx [ln(x)]
1 / x
d/dx [ex]
ex
d/dx [loga(x)]
1 / [xln(a)]
d/dx [ax}
axln(a)
d/dx [arcsin(x)]
1 / √(1-x2)
d/dx [arccos(x)]
-1 / √(1-x2)
d/dx [arctan(x)]
1 / (x2+1)
d/dx [arccot(x)]
-1 / (x2+1)
d/dx [arcsec(x)]
1 / |x|√(x2-1)
d/dx [arccsc(x)]
-1 / |x|√(x2-1)