Notes in Calculus BC Memory Quiz

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Published	02/14/2024	\(\frac{dx}{dy}(\sin{u})=\)
Published	02/14/2024	\(\frac{dx}{dy}(\cos{u})\)=
Published	02/14/2024	\(\frac{dx}{dy}(\tan{u})=\)
Published	02/14/2024	\(\frac{dx}{dy}(\sec{u})=\)
Published	02/14/2024	\(\frac{dx}{dy}(\cot{u})=\)
Published	02/14/2024	\(\frac{dx}{dy}(\csc{u})=\)
Published	02/14/2024	\(\int{(\sin{x})dx}=\)
Published	02/14/2024	\(\int{(\cos{x})dx}=\)
Published	02/14/2024	\(\int{a^xdx}=\)
Published	02/14/2024	\(\frac{dx}{dy}(\ln{u})=\)
Published	02/14/2024	\(\frac{dx}{dy}(e^u)=\)
Published	02/14/2024	\(\int{e^xdx}\)
Published	02/14/2024	What is the formula for average rate of change?
Published	02/14/2024	How do you find the instantaneous rate of change?
Published	02/14/2024	What is the formula for average value of a function?
Published	02/14/2024	Determining whether a function is increasing or decreasing is related to what derivative?
Published	02/14/2024	Determining whether a function is concave up or concave down is related to what derivative?
Published	02/14/2024	State the three conditions of a function to be continuous at a point.
Published	02/14/2024	Where are critical values located?
Published	02/14/2024	Where are relative minimums located?
Published	02/14/2024	Where are relative maximums located?
Published	02/14/2024	Where are inflection points located?
Published	02/14/2024	State the formula used to find the volume based on cross sections.
Published	02/14/2024	State the formula used to find the area between two functions.
Published	02/14/2024	State the formula used to find the volume formed by discs.
Published	02/14/2024	State the formula used to find the volume formed by washers.
Published	02/14/2024	Formula for arc length of a rectanglular
Published	02/14/2024	State the formal definition for derivative
Published	02/14/2024	State Mean Value Theorem:
Published	02/14/2024	State Rolle's Theorem:
Published	02/14/2024	The derivative of the position function is the __ function.
Published	02/14/2024	The second derivative of the position function is the __ function.
Published	02/14/2024	How do you find the \(t\) in which a particle is at rest?
Published	02/14/2024	How do you find the total distance traveled by a particle?
Published	02/14/2024	How do you find the displacement of a particle?
Published	02/14/2024	How do you find if a particle is speeding up or slowing down?
Published	02/14/2024	How do you tell if a particle is movng (left/down) or (up/right)?
Published	02/14/2024	What is the formula for speed of a function?
Published	02/14/2024	An object in motion along a line reverses its direction when
Published	02/14/2024	How do you find the vertical asymptote of a rational function?
Published	02/14/2024	How do you find the horizontal asymptote of a rational function?
Published	02/14/2024	What is the Extreme Value Theorem?
Published	02/14/2024	What is the Intermediate Value Theorem?
Published	02/14/2024	To find the absolute extrema you much check which points for max/min y values?
Published	02/14/2024	\(\frac{dx}{dy}f(g(x))=\)
Published	02/14/2024	\(\frac{dx}{dy}(a^x)=\)
Published	02/14/2024	True or False: \(\frac{x+y}{z}=\frac{x}{z}+\frac{y}{z}\)
Published	02/14/2024	True or False: \(\frac{z}{x+y}=\frac{z}{x}+\frac{z}{y}\)
Published	02/14/2024	When approximating f'(x), then use __
Published	02/14/2024	When approximating \(\int{f(x)dx}\), then use __
Published	02/14/2024	\(\sin{\frac{\pi}{6}}\)=
Published	02/14/2024	\(\sin{\frac{\pi}{4}}=\)
Published	02/14/2024	\(\sin{\frac{\pi}{3}}\)=
Published	02/14/2024	\(\sin{0}=\)
Published	02/14/2024	\(\sin{\frac{\pi}{2}}=\)
Published	02/14/2024	\(\sin{\pi}=\)
Published	02/14/2024	\(\sin{\frac{3\pi}{2}}=\)
Published	02/14/2024	\(\cos{\frac{\pi}{6}}=\)
Published	02/14/2024	\(\cos{\frac{\pi}{4}}=\)
Published	02/14/2024	\(\cos{\frac{\pi}{3}}=\)
Published	02/14/2024	\(\cos{0}=\)
Published	02/14/2024	\(\cos{\frac{\pi}{2}}=\)
Published	02/14/2024	\(\cos{\pi}=\)
Published	02/14/2024	\(\cos{\frac{3\pi}{2}}=\)
Published	02/14/2024	If \(f(x)\) is differentiable on \((a,b)\) then \(f(x)\) is __ on \([a,b]\).
Published	02/14/2024	The 2nd Fundamental Theorem of Calculus says that \(\frac{d}{dx}\int_{a}^{u}f(t)dt=\)
Published	02/14/2024	\(\lim_{x\to 0}{\frac{\sin{x}}{x}}=\)
Published	02/14/2024	\(\frac{dy}{dx}\left(\frac{f(x)}{g(x)}\right)=\) (quotient rule)
Published	02/14/2024	\(\frac{dy}{dx}\left(f(x)\cdot g(x)\right)=\) (product rule)
Published	02/14/2024	\((f^{-1})'(y)=\)
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