The derivative, with respect to x, is -x/sqrt(1-x2)
f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4
The equation is: ln(1+tx)=tx-(h/g)x^2 BTW
Eight: pH is defined as the negative of the logarithm to the base 10 of the actual value.
integral x/(x-1) .dx = x - ln(x-1) + c where ln = natural logarithm and c = constant of integration alternatively if you meant: integral x/x - 1 .dx = c
pH is minus of logarithm of concentration of hydronium ion
pH of a solution is the negative logarithm of the hydrogen-ion concentration
The derivative, with respect to x, is -x/sqrt(1-x2)
m
f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4
The equation is: ln(1+tx)=tx-(h/g)x^2 BTW
Eight: pH is defined as the negative of the logarithm to the base 10 of the actual value.
integral x/(x-1) .dx = x - ln(x-1) + c where ln = natural logarithm and c = constant of integration alternatively if you meant: integral x/x - 1 .dx = c
The derivative of the moment generating function is the expectation. The variance is the second derivative of the moment generation, E(x^2), minus the expectation squared, (E(x))^2. ie var(x)=E(x^2)-(E(x))^2 :)
If x --> 0+ (x tends to zero from the right), then its logarithm tends to minus infinity. On the other hand, x --> 0- (x tends to zero from the left) makes no sense, at least for real numbers, because the logarithm of negative numbers is undefined.
d/dx(sinx-cosx)=cosx--sinx=cosx+sinx
1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.