UT Austin
Texas A&M
Victoria College
Texas Tech
Texas State
100
Derivative of 5x
What is 5?
100
Derivative of 9
What is 0?
100
Derivative of 7x^2
What is 14x?
100
Derivative of ln(2x)
What is 2/(2x)?
100
Derivative of x
What is 1?
200
Derivative of sin(x)?
What is cos(x)?
200
Derivative of e^(5x)
What is 5e^(5x)?
200
Derivative of 2x + (8x)^2
What is 2 + 16x?
200
Derivative of tan(x).
What is (sec^2(x))?
200
Derivative of cos(x)
What is -sin(x)?
300
Derivative of csc(x)
What is -(cscxcotx)?
300
Derivative of (5x+3)(9x^2)
What is [(5x+3)(18x)] + [(9x^2)(5)]?
300
Derivative of sec(x)
What is sec(x)tan(x)?
300
Derivative of (3x^4)/(x^2)
What is [(x^2)(12x^3)-(3x^4)(2x)]/((x^2)^2)?
300
Derivative of cot(x)
What is -(csc^2(x))?
400
Derivative of log(subscript 5)(2x+1)
What is 2/[(ln5)(2x+1)]?
400
Derivative of arccot(10x^5)
What is -(50x^4)/[1+((10x^5)^2)]?
400
Derivative of arccsc(2x^3+7)
What is -(6x^2)/[|2x^3+7|*[sqrt(((2x^3+7)^2)-1)]]?
400
Derivative of 5^(5x^3)
What is (ln5)*(5^(5x^3))*(15x^2)?
400
Derivative of arcsec(5x+2)
What is 5/[|5x+2|*[sqrt(((5x+2)^2)-1)]]?
500
Derivative of arcsin(7x+3x^2) & This calculus theorem states that if f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b), then there is at least one number c in [a,b] such that f(c)=k.
What is (7+6x)/[sqrt(1-((7x+3x^2)^2))]? & What is the Intermediate Value Theorem?
500
Derivative of arccos(4x^2+6x) & This calculus theorem can be applied if f is continuous on the closed interval [a,b], differentiable on the open interval (a,b), and f(a)=f(b). Then there is at least one number in (a,b) such that f'(c)=0.
What is -(8x+6)/[sqrt(1-((4x^2+6x)^2))]? & What is Rolle's Theorem?
500
Derivative of arctan(6x^2+2x) & This calculus theorem states that if f is continous on the closed interval [a,b] and differntiable on the open interval (a,b), then there exists a number c such that f'(c) = (f(b)-f(a))/(b-a).
What is (12x+2)/(1+((6x^2+2X)^2))? & What is the Mean Value Theorem?
500
This calculus theorem states that if f is continuous on the closed interval [a,b] and F is an antiderivative of f on [a,b], then the integral from a to b of f(x)dx = F(b) - F(a). & This calculus theorem states that if f is continous on an open interval (a,b) containing a, then for every x in the interval: d/dx of the integral from a to b of f(x)dx = (f(b) * b') - (f(a) * a').
What is the First Fundamental Theorem Of Calculus? & What is the Second Fundamental Theorem Of Calculus?
500
This calculus theorem states that if f is continous on [a,b], then there is some number c in [a,b] such that the integral from a to b of f(x)dx = f(c) * (b-a).
What is the Mean Value Theorem For Integrals?
M
e
n
u