Symbolab Derivatives Cheat Sheet
ο»ΏSymbolab Derivatives Cheat Sheet
Derivative Rules:
Power Rule: () = -1
Derivative of a Constant: () = 0
Sum/Difference Rule:
( ? ) = ?
Constant Out: ( ) =
Product Rule:
( ) = +
Quotient Rule:
()
=
- 2
Chain Rule: () =
Common Derivatives:
(ln()) = 1
(ln(||)) = 1
() =
Trigonometric Derivatives:
(sin()) = cos()
(cos()) = - sin()
(tan()) = sec2()
(log())
=
1 ln(10)
(log())
=
1 ln()
(sec())
=
tan() cos()
(csc())
=
- cot() sin()
(cot())
=
-
1 sin2()
Arc Trigonometric Derivatives:
(arcsin())
=
1 1-2
(arccos())
=
-
1 1-2
(arctan())
=
1 2+1
(arcsec())
=
1 2(2-1)
(arccsc())
=
-
1 ||2-1
(arccot())
=
-
1 2+1
Hyperbolic Derivatives:
(sinh()) = cosh()
(cosh()) = sinh()
(tanh()) = sech2()
(sech()) = - sech() tanh()
(csch()) = - coth() csch()
(coth()) = - csch2()
Arc Hyperbolic Derivatives:
(arcsinh())
=
1 2+1
(arccosh()) = 1
-1+1
(arcsech())
=
+2 1-1 (-1)
(arctanh())
=
1 1-2
(arccsch()) = - 1
212+1
(arccoth())
=
1 1-2
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