Derivatives
What is the derivative of: 2x4 - 3x2 -1
What is: 8x3 - 6x
What is the integral of: ex ?
What is: ex + c
What is the Quotient Rule?
What is:
f'/g'=(f' * g)- (f * g') / g2
What would the x-intercept be when it crosses the x-axis? A. Critical Point OR B. Inflection Point
What is: B. Inflection Point
What was the last test we took for Calculus AB?
What is: Integrals.
What is the derivative of: ln(x) ?
What is: 1/x
What is the integral of: sin(x) ?
When does L'Hôpital's Rule apply?
What is: Evaluating a limit of the fraction: f(x) / g(x) that results in the indeterminate forms 0/0 or infinity/ infinity.
What does x-intercepts means?
How much is the Calculus AB final worth?
What is: 15%
What is the derivative of csc(x)?
What is: -csc(x)cot(x)
What is the integral of xn
What is: (xn+1 / n+1) +c
What is the Average Rate of Change formula?
What is: f(b)-f(a) / b-a
What is: A. Concave up
What is the third planet from the sun?
What is: Earth
How do you find an inflection point?
What is: Calculating for the second derivative: f''(x) and set it equal to 0 or find where x is undefined.
Using U-substitution what would you mark a U:
integral: (-/10-x5 (-5x4)) dx
What is: U = -/10-x5
What is the formula for Cross Sections?
What is: V= A(x)dx
Given the graph of f(x): When f(x) is Positive. Is the x-axis above or below?
What is: Above
Who had an apple fall on their head while sitting under an apple tree?
What is Isaac Newton
What is the derivative of: (f -1(x)) ?
What is: d/dx (f -1(x)) = 1/ f' (f -1(x))
What is the integral of 1/ (-/1-x^2) ?
What is: arcsin(x)+c
What does the Intermediate Value Theorem prove?
It proves: If f(x) is continuous on [a, b] then all given y- values between the endpoints must occur on [a, b]
If f'(x) is above/below the x-axis, what does this tell you about f(x)?
What is: f(x) is increasing/decreasing
When did we take the Calculus AB AP exam? (Time, Date, location)
What is: Monday, May 11th, at 8AM, in the Career Center.