- a’=0, a – число
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\[ (x^n)’=nx^{n-1} \]
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\[ (\sqrtх)’=\frac1 {2\sqrtх} ) \]
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\[ (\frac1x)’=-\frac{1}{x^2} \]
- (ex)’=ex
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\[ (a^x)’=a^xlna \]
- (sinx)’=cosx
- (cosx)’=-sinx
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\[ (lnx)’=\frac{1}{x} \]
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\[ (log_{a}x)’=\frac1{xlna} \]
- \[ ((tgx)’=\frac{1}{cos^2x} ) \]
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\[ (ctgx)’=-\frac1{sin^2x} \]
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\[ (arcsinx)’=\frac1{\sqrt{1-x^2}} \]
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\[ ( (arccosx)’=\frac{-1}{\sqrt{1-x^2}} ) \]
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\[ (arctgx)’=\frac1{1+x^2} \]
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\[ (arcctgx)’=\frac{ -1 }{ 1+x^2 } \]
Просто о сложном
