Natural Log
Exponential Function
Base of 'a'
Inverse Trig Functions
Mystery Box!
100
This is the derivative of g(x)=ln (x^0.5)
What is 1/2x
100
This is the derivative of (t^2)(e^t)
What is t^2e^t+2te^t
100
This is the derivative of 3^(x-1)
What is 3^(x-1) ln 3
100
This is the derivative of y=tan(arcsin x)
What is ((1-x^2)^0.5 +x^2(1-x^2)^-0.5)/(1-x^2) or (1-x^2)^(-3/2)
100
This is the expanded form of this logarithmic function, using the properties of logarithms: ln[(x^2 +1)(x-1)]
What is ln (x^2+1) + ln (x-1)
200
This is the derivative of f(x)=x (lnx)^0.5
What is 1/ 2(lnx)^0.5 + (lnx)^0.5
200
This is the derivative of (x^2)/(e^x)
What is (e^x(2x)-x^2e^x)/(e^2x)
200
This is the derivative of x(4^-x)
What is 4^-x - (x)(4^-x)(ln4)
200
This is the derivative of y = x arcsec x
What is x/( lxl (x^2-1)^0.5) + arcsec x
200
This is the equation of a tangent line to y=ln(2+x) + 2/(2+x) at the point (-1, 2)
What is y=-x+1
300
This is the integral of 1/(7x-2)
What is 1/7 ln l 7x-2 l +C
300
This is the integral from 0 to 1 of xe^(-3x^2) dx
What is -1/6 (e^-3 - 1)
300
This is the integral of (x+1)(5^(x+1)^2) dx
What is (1/2)(1/ln5)(5^(x+1)^2) +C
300
This is the integral of 1/(e^2x + e^-2x) dx
What is 1/2 arctan (e^2x) +C
300
This is the equation of a tangent line to f(x)= ln (e^-x^2) at the point (2, -4)
What is y= -4x+4
400
This is the integral of sinx / (1+cosx) dx
What is -ln l 1+cosx l +C
400
This is the integral of (e^4x - e^2x +1)/(e^x)
What is 1/3e^3x - e^x - e^-x +C
400
This is the integral of (2^(-1/t))/(t^2) dt
What is (1/ln2)(2^(-1/t)) +C
400
This is the integral of x/( (1-x^4)^0.5) dx
What is 1/2 arcsin x^2 +C
400
This is dy/dx when y(ln x) +y^2 = 0
What is -y/((x)(2y+lnx))
500
This is the integral from 0 to pi/3 of sec x dx
What is ln (2 + root 3)
500
This is the integral from 1 to 3 of (e^x)/(e^x - 1) dx
What is ln (e^3 -1) - ln(e -1)
500
This is the integral of (2^sinx)(cosx) dx
What is (1/ln2)(2^sinx) +C
500
This is the integral of arctan(x/2) / (4+x^2) dx
What is 1/4 (arctan(x/2))^2 +C
500
This is the size of deposit you must make to obtain a balance of $10,000 in 15 years, with 7% interest that is compounded continuously.
What is $3499.38
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