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(axn)’
anxn-1
(fg)’
f’g+fg’
(f/g)’
(f’g-fg’)/g²
(f(g(x)))’
f’(g(x)) × g’(x)
(sin x)’
cos x
(cos x)’
(sin x)’
(tan x)’
sec² x
(csc x)’
csc x cot x
(sec x)’
sec x tan x
(cot x)’
-csc² x
(arcsin x)’
1/√(1-x²)
(arctan x)’
1/(1+x²)
∫xn dx
\frac{x^n+1}{n+1}