F'(g(x))? =? [? F(g(x+dx))? -? F(g(x))? ]? /? dx? ( 1)?
g(x+dx)? -? g(x)? =? g'(x)*dx? =? dg(x)? (2)?
g(x+dx)? =? g(x)? +? dg(x)? (3)?
F'(g(x))? =? [? F(g(x)? +? dg(x))? -? F(g(x))? ]? /dx? =?
[? F(g(x)? +? dg(x))? -? F(g(x))? ]? /? dg(x)? *? dg(x)/dx? =?
f’(g)? *? g'(x)
Derivation formula of basic function
1.y=c(c is a constant)? y'=0?
2.y=x^n? y'=nx^(n- 1)?
3.y=a^x? y'=a^xlna?
y=e^x? y'=e^x?
4.y=logax? y'=logae/x?
y=lnx? y'= 1/x?
5.y=sinx? y'=cosx?
6.y=cosx? Sinks?
7.y=tanx? y'= 1/cos^2x?
8.y=cotx? y'=- 1/sin^2x?
9.y=arcsinx? y'= 1/√ 1-x^2?
10.y=arccosx? y'=- 1/√ 1-x^2?
1 1.y=arctanx? y'= 1/ 1+x^2?
12.y=arccotx? y'=- 1/ 1+x