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Common Calculus Derivatives
Derivative of tan x
Derivative of sin x
Common Calculus Derivatives
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1
Derivative of sin x
sin x
cos x
- sin x
- cos x
2
Derivative of tan x
sec x
sec x tan x
\sec^2x
-\cot^2x
3
Derivative of \cos^{-1}x
\frac{1}{1+x^2}
-\frac{1}{\sqrt{1-x^2}}
\frac{1}{\sqrt{1-x^2}}
-\frac{1}{\sqrt{1+x^2}}
4
Derivative of \sec t
\sec x
\sec t\tan t
\sec t
\sec x\tan x
5
Derivative of 2^x
e^x\ln2
e^x
2^x
2^x\ln2
6
Derivative of arctan x
\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}
\frac{1}{1+x}
\frac{1}{\sqrt{1+x^2}}
7
Derivative of arcsin x
\frac{1}{1+x^2}
\frac{1}{\sqrt{1-x^2}}
\frac{1}{\sqrt{1+x^2}}
-\frac{1}{\sqrt{1-x^2}}
8
Derivative of e^x
a^x\ln a
xe^{x-1}
e^x
e
9
Derivative of \sqrt{2}x^{\sqrt{3}}
\sqrt{6}x
\sqrt{6}x^{\sqrt{3}-1}
x^{\sqrt{3}-\sqrt{2}}
\sqrt{2}x^{\sqrt{3}-1}
10
Derivative of ln x
Undefined
\frac{1}{x}
ln
e^x
11
Derivative of \log_2x
1/x
\frac{1}{2\ln x}
\frac{1}{x\ln2}
1/2
