rules and definitions
f'(x)g(x) + g'(x)f(x)
What is the product rule?
\frac{df}{dx} = -sin(x)
What is
cos(x)? \text{Is this the only solution?}
The Latin word for pebble.
f'(g(x)) \cdot g'(x)
What is the chain rule?
\frac{df}{dx} = x
What is
\frac{1}{2}x^2 + C?
The two mathematicians mainly credited with discovering calculus.
Who are Newton and Leibniz?
The points where
f'(x) = 0.
What are critical points?
\frac{df}{dx} = e^x + cos(x)
What is
e^x + sin(x) + C?
The author of the quote "If I have seen further, it is by standing on the shoulders of giants."
Who is Isaac Newton?
The limit definition of the derivative.
What is
lim_{h->0}\frac{f(x+h)-f(x)}{h}?
\frac{df}{dx} = 2^x
What is
\frac{2^x}{ln(2)} + C?
Lord Bishop Berkeley described these as "the ghosts of departed quantities."
What is
dx?