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Calc Derivative Rule
function f(x)1 | derivative |
---|---|
C^1 | 0 |
X^n | nX^(n-1) |
UV | U1*V+U*V1 |
U/V | (U1*V-V1*U)/(V^2) |
CF | C*f^1 |
f+-g | f1+-g1 |
e^x | e^x |
sin(x) | cos(x) |
cos(x) | -sin(x) |
tan(x) | sec^2(x) |
cot(x) | -csc^2(x) |
sec(x) | sec(x)+tan(x) |
csc(x) | -csc(x)+tan(x) |
a^x | a^x log(a) |
logX | 1/x |
log(a)X | 1/(Xlog(a)) |
arc sin (x) | 1/(sqrt(1-x^2)) |
arc tan (x) | 1/(x^2+1) |
arc sec(x) | 1/(1*1*sqrt(x^2-1)) |
arc cos(x) | -1/(sqrt(1-x^2)) |
arc cot(x) | -1/(1+x^2) |