1, original function: y=c(c is a constant)
Derivative: y'=0
2. Original function: y = x n
Derivative: y' = NX (n- 1)
3. Original function: y=tanx
Derivative: y' = 1/cos 2x
4. Original function: y=cotx
Derivative: y' =- 1/sin 2x
5. Original function: y=sinx
Derivative: y'=cosx
6. Original function: y=cosx
Derivative: y'=-sinx
7. Original function: y = a x
Derivative: y' = a xlna
8. Original function: y = e x
Derivative: y' = e x
9. Original function: y=logax
Derivative: y'=logae/x
10, original function: y=lnx.
Derivative: y'= 1/x
Complete works of derivative formulas
Y=f(x)=c (c is a constant), then f'(x)=0.
F (x) = x n (n is not equal to 0) f' (x) = NX (n- 1) (x n stands for the n power of x).
f(x)=sinx f'(x)=cosx
f(x)=cosx f'(x)=-sinx
F' (x) = sec 2x variance
f(x)=a^x f'(x)=a^xlna(a>; 0 and a are not equal to 1, x >;; 0)
f(x)=e^x f'(x)=e^x
f(x)= logaX f '(x)= 1/xlna(a & gt; 0 and a are not equal to 1, x >;; 0)
f(x)= lnx f '(x)= 1/x(x & gt; 0)
f(x)=tanx f'(x)= 1/cos^2 x
f(x)=cotx f'(x)=- 1/sin^2 x
F(x)= adkerson (x) f' (x) =1√ (1-x 2)
F(x)= Akkos (x) f' (x) =-1√ (1-x 2)
F(x)= Aktan (x) f' (x) =-1/(1+x 2)