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Calc Deriv Rules
Derivative Rules For Calc 1
Question | Answer |
---|---|
(d/dx) | e^x |
Product Rule | F' = u'*v + v'*u |
Quotient Rule | (vu'-uv')/v^2 |
(d/dx) sinx | cos x |
(d/dx) cosx | -sinx |
(d/dx) tanx | sec^2 (x) |
(d/dx) cotx | -csc^2 (x) |
(d/dx) secx | secx * tanx |
(d/dx) cscx | -casx * cotx |
Chain Rule | F’(x) = f’(g(x))g’(x) |
(d/dx) a^x | a^x * ln(a) |
(d/dx) sin^-1 | 1/sqrt(1-x^2) |
(d/dx) cos^-1 | -1/sqrt(1-x^2) |
(d/dx) tan^-1 | 1/sqrt(1+x^2) |
(d/dx) csc^-1 | -1/(x * sqrt(x^2 - 1) |
(d/dx) sec^-1 | 1/(x * sqrt(x^2 - 1) |
(d/dx) cot^-1 | -1(1+x^2) |
(d/dx) log a (x) | 1/(x*ln(a)) |
(d/dx) ln x | 1/x |
(d/dx) sinh x | cosh x |
(d/dx) cosh x | sinh x |
(d/dx) tanh x | sech^2 x |
(d/dx) csch x | -csch x * coth x |
(d/dx) sech x | -sech x * tanh x |
(d/dx) coth x | -csc^2 x |