Derivative of tanx |
(secx)^2 |
Derivative of secx |
secxtanx |
Derivative of cotanx |
-(cosecx)^2 |
Derivative of cosecx |
-cosecxcotx |
Derivative of loga(x) |
1/(xln(a)) |
Derivative of a^x where a is a constant |
a^x ln(a) |
Integral of a^x |
(1/ln(a)) * a^x + C |
Limit of sin(1/x) as x -> 0 |
DNE |
Limit of |x|/x as x -> 0 |
DNE |
Limit of 1/x as x -> 0 |
Undefined |
Limit of 1/(x^2) as x -> 0 |
Infinity |
sin(x)/x as x -> 0 |
1 |
x/sin(x) as x -> 0 |
1 |
sin(5x)/5x as x -> 0 |
1 |
sin(5x)/2x as x -> 0 |
5/2 |
Derivative of arcsin(x) |
1/sqrt(1-x^2) |
Derivative of arctan(x) |
1/(1+x^2) |
Derivative of arcsec(x) |
1/(x * sqrt(x^2-1)) |
Derivative of tanx |
(secx)^2 |
Derivative of secx |
secxtanx |
Derivative of cotanx |
-(cosecx)^2 |
Derivative of cosecx |
-cosecxcotx |
Derivative of loga(x) |
1/(xln(a)) |
Derivative of a^x where a is a constant |
a^x ln(a) |
Integral of a^x |
(1/ln(a)) * a^x + C |
Limit of sin(1/x) as x -> 0 |
DNE |
Limit of |x|/x as x -> 0 |
DNE |
Limit of 1/x as x -> 0 |
Undefined |
Limit of 1/(x^2) as x -> 0 |
Infinity |
sin(x)/x as x -> 0 |
1 |
x/sin(x) as x -> 0 |
1 |
sin(5x)/5x as x -> 0 |
1 |
sin(5x)/2x as x -> 0 |
5/2 |
Derivative of arcsin(x) |
1/sqrt(1-x^2) |
Derivative of arctan(x) |
1/(1+x^2) |
Derivative of arcsec(x) |
1/(x * sqrt(x^2-1)) |
Integral of 1/sqrt(a^2 - u^2) |
arcsin(u/a) + C |
Integral of 1/(a^2+u^2) |
(1/a)arctan(u/a) + C |
sin(A+B)= |
sinAcosB+cosAsinB |
cos(A+B)= |
cosAcosB-sinAsinB |
sin(A-B)= |
sinAcosB-cosAsinB |
cos(A-B)= |
cosAcosB+sinAsinB |
sin(2x) |
2sinxcosx |
cos(2x) |
cos^2x-sin^2x |
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