• 2 x^2-x-1 vs d (2 x^2-x-1)/dx
  • absolute value
  • cos(x), cos'(x), cos''(x), cos'''(x), cos''''(x)
  • d^2/dx^2 cos(x)
  • d/dx {sinx, cosx, tanx, cotx, secx, cscx}
  • domain and range (x^3+4)/x^2
  • find zeros of (sqrt(x^2+x)-x)
  • integrate cos(x) dx
  • is cos'(x) an odd function?
  • infinity
  • limit 1/((x^2-1)/(2 x^2-x-1))
  • limit (f(t+h)/f(t))^(1/h) as h -> 0
  • limit of cos(x) as x -> +infinity
  • limit 1/(1+1/n)
  • limit tan(t) as t->pi/2 from the left
  • lim ((x+h)^5 - x^5)/h as h->0
  • sum 1/n^2, n=1 to infinity
  • sum (3/4)^j, j=0..infinity
  • sum x^n, n=0 to +oo
  • sum 1/n^2
  • 1/2 + 1/4 + 1/8 + 1/16 + ...
  • infimum of x^2-2x infimum 1+(1/n)
  • mathematical rules
  • plot 1/(cos(x))
  • polar plot abs(3 theta^3+2 theta)
  • product rule, quotient rule, chain rule
  • roots 2x^2 - x - 1
  • series 1/cos(x)
  • series of 2 x^2-x-1 at x = pi
  • series sin x at x=pi/4
  • series (sin x)/(x-pi) at x=pi to order 10
  • tangent line of y = 3 x^3+2 x at x = 2/5
  • taylor polynomial degree 3 of (x^3+4)/x^2 at x=1
  • taylor series sin x
  • x < 0
  • harmonic mean {1, 2, 3}
  • kurtosis of {1, 2, 3}
  • {1, -1, 0}x{0, 1, -1}
  • inflection points of x+sin(x)
  • (complement S) intersect (A union B)
  • P && (Q or R)