This rule states that the derivative of a constant is zero.
What is The Constant Rule.
100
This is the derivative of 1/2x^3.
What is 3/2x^2.
100
This is the derivative of lnx.
What is 1/x.
100
-sinx is the derivative of this function.
What is cosx .
100
Differentiability implies this .
What is continuity.
200
This "powerful" rule involves exponents.
What is The Power Rule.
200
This is the derivative of the equation x^2 - y^2 = 16.
What is -x/y.
200
This is the derivative of e^2x.
What is 2e^2x.
200
This is the derivative of -πcost.
What is πsint.
200
The function s gives this, relative to the origin, of an object as a function of time t .
What is position.
300
This rule states that when one function is subtracted from the other, the derivative of those functions is the derivative of the first function minus the derivative of the second.
What is The Difference Rule.
300
This is the derivative x(x^2+1).
What is 3x^2 + 1.
300
This is the derivative of ln(x^2).
What is 2/x.
300
This is the derivative of x^3(cosx).
What is x^2(3cosx-xsinx)
300
This is the domain of the natural log function.
What is (0, ∞).
400
This rule involves the formula [f'g-g'f]/g^2.
What is The Quotient Rule.
400
This is the derivative of (2x-7)^3 .
What is 6(2x-7)^2 .
400
Use logs to find this, the derivative of ln(sqrt(x+1)).
What is 1/2(x+1).
400
This is the derivative of (cotx)^2.
What is -2csc^2(x)-cotx.
400
This is what ends up on the left side of the equation when taking the second derivative implicitly.
What is d^2y/dx^2 .
500
The following formula is representative of the derivative of this function, in terms of u:
-1/(1+u^2).
What is arcccot(u).
500
This the second derivative of x/(x + 1).
What is 2/(x-1)^3 .
500
DAILY DOUBLE!!
This is the derivative of ln([x(x^2+1)^2]/[sqrt
(2x^3-1)]).
What is 1/x + 4x/(x^2+1) - 3x^2/(2x^3-1).
500
This is the derivative of 2arcsin(x-1).
What is 2/(sqrt(2x-x^2).
500
The natural exponential function is this on its entire domain.