Derivatives
The derivative of 5x3
What is 15x2?
The integral of x2
What is (x3/3) + C?
d/dx of [f(x)g(x)]
What is f(x)g'(x) + f'(x)g(x)?
The limit of x->1 when f(x)=2x3+3x
What is 5?
The best calculus teacher!
Mrs. Hrubes
The derivative of ex
What is ex?
The integral of cos(x)
What is sin(x) + C?
d/dx of [f(x)/g(x)]
What is [[g(x)f'(x) - f(x)g'(x)]/(g(x))2]?
The rule used to solve a limit equal to 0/0
What is L'Hospital's rule?
The person who introduced calculus to mathematics
Who is Leibniz?
The derivative of ln(x)
What is (1/x)?
The integral of (1/x)
What is ln(x)?
The name of this theorem:
f'(c)=[(f(b)-f(a))/(b-a)]
What is the Mean Value Theorem?
The limit as x-> infinity when f(x)=[2x3/-4x2]
What is negative infinity?
The derivative of acceleration
What is jerk?
The derivative of cot(x)
What is -csc2(x)?
The integral of e2x
What is (e2x/2) + C?
The line used to find the instantaneous rate of change
What is a tangent line?
The limit as x->0 when f(x)=[(2x+3)/(5x2+2)]
What is (3/2)?
The trapezoidal approx. method used on a function that is concave down is an _____estimate
The derivative of sin(cos2(x))
What is -cos(cos2(x))sin(2x)?
Integral of acceleration
What is velocity?
The line used to find the average rate of change
What is a secant line?
The limit as x->pi when f(x)=sin(x)
What is 0?
The area of an equilateral triangle (used when finding volume w/ uniform cross sections/tiles)