Flashcards
Calculus
Flashcards do conjunto (21)
- 1Lagrange notationf'(x)
- 2Leibniz notationdy/dx
- 3Euler notationD f(x)
- 4Newton notationẏ(x)
- 5Compact notationfₓ fᵧ fₓₓ fᵧᵧ etc.
fₓᵧ → different with respect to y first, then x - 6Derivative of ln (x)1/ x
- 7Derivative of log ₐ (x)1/(xlna) = log ₐ (e)/ x
- 8Derivative of e ᵃˣae ᵃˣ
- 9Derivative of aˣaˣ ln(a)
- 10Derivative of tan(x)sec²(x)
- 11Derivative of sec(x)sec(x) tan(x)
- 12Derivative of cosec(x)-cosec(x) cot(x)
- 13Derivative of cot(x)-cosec²(x)
- 14Derivative of arcsin(x)1/ √(1-x²)
- 15Derivative of arccos(x)1/ √(1+x²)
- 16Derivative of arctan(x)1/ (1+x²)
- 17Chain ruled/dx of f(x) g(x)
= f'(x) g(x) + f(x) g'(x)
- applies also for partial derivatives - 18Quotient rule
- 19Chain rule for composite functions
- 20Chain rule composite functions for partial derivativesLet x ( x, y ) = f ( g (x,y) )
∂u/ ∂x = ∂g/ ∂x * f'(g) - 21—