Derivative Rules
The general formula for the power rule
What is n(x)^{n-1}?
What is setting the first derivative equal to 0?
What is f'(x) = 15x^2 - 8x?
The sketch of the box and with information from the problem included
What is ...?
The age of Professor Davis' son
What is 2 years old?
The general formula for the product rule
What is f'(x)g(x) + g'(x)f(x)?
The two scenarios where critical points exist
What is a max or min and the first derivative does not exist?
The derivative of f(x) = e^x * (5x^2 + 3000)
What is f'(x) = e^x(5x^2 + 3000) + e^x(10x)?
The maximization equation for this problem
What is V(h) = lwh
SI session times on Sundays
What is 2-3pm?
The general formula for the quotient rule
What is g(x)f'(x) - f(x)g'(x) all over g(x)^{2} ("low d high minus high d low all over low squared")?
A max or min that is the greatest maximum or the greatest minimum on the interval [a,b]
What is a global max or min?
The derivative of f(x) = (3x + 3x^4)/(sin(x))
What is f'(x) = ((sin(x))*(3 +12x^3) - (3x + 3x^4)(cos(x)))/((sin(x))^2)?
The constraint equation(s) for this problem
What is l = (50 - 2x) and w = (20 -2x)?
Professor Davis' office number
What is RMS 501?
The general formula for the chain rule
What is f'(g(x))*g'(x)?
Any max or min on an interval [a,b]
What is a local max or min?
The derivative of f(x) = (6x^2 - 7x)^-4
What is -4(6x^2 -7x)^-3 * (12x - 7)?
The critical points for this optimization problem (with work shown)
What are 4.4018 and 18.9315?
Signe's answer to the warm up question today
What is light blue?
The general formula for the derivative of any constant (n)^{x} (ex 5^x)
What is ln(n)*n^{x}?
The theorem that guarantees the existence of at least one maximum and minimum on any interval [a,b]
What is the Extreme Value Theorem?
The derivative of this equation:
What is this?
The height of the box
What is 4.4018 cm?
Professor Davis' alma mater
What is St. Olaf College?