Derivatives + Anti-derivatives to Memorize for Calc (copy)

Derivatives + anti-derivatives of trig + logarithmic functions. Good for Calc 🤩 For the purpose of the flashcards, integrals/anti-derivatives are denoted by the { symbol, and derivatives by d/dx.

d/dx(sin(x))

cos(x)

d/dx(cos(x))

-sin(x)

d/dx(tan(x))

sec²(x)

d/dx(cot(x))

-csc²(x)

d/dx(lnx)

xln(x)-x+C

d/dx(sin^-1x)

1/(1-x²)^1/2

d/dx(cos^-1x)

-1/(1-x²)^1/2

d/dx(tan^-1x)

1/(1+x²)

d/dx(sec^-1x)

1/(x(x²-1)^1/2

d/dx(csc^-1x)

-1/(x(x²-1)^1/2

d/dx(cot^-1x)

-1/(x²+1)