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AP Calculus Midterm

QuestionAnswer
When Finding An Anti-Derivative, Always Add The Variable... c
Left-Hand Riemann Sum Estimate over-approximation
Right-Hand Riemann Sum Estimate under-approximation
Mid-Point Riemann Sum Estimate average-approximation
If Number On Top Of The Integrate Symbol Is Greater Than The One Below... switch their places and insert a negative
In Integrals, The Constants Can Be... taken out and placed in front of the symbol
In An Integral, You Can Separate... any addition and subtraction within it and integrate separately
When Finding dy/dx... add a y' every time you derive a y
Solve An Equation On A Calculator solve(y1,x)
To Evaluate At Sign On Calculator |
Evaluate A Derivative At A Certain Value On Calculator d(y1(x),x) | x=1
EVT if f(x) is continuous at [a,b], then f(x) is guaranteed to have an absolute maximum and minimum on [a,b]
When Using EVT, Check... all critical values & endpoints
Average Rate Of Change slope of secant = y2-y1/x2-x1
Instantaneous Rate Of Change slope of tangent line = f'(x)
MVT if f(x) is continuous on [a,b] and differentiable on (a,b), then it is guaranteed to exist a value of c where f'(c)=f(b)-f(a)/b-a
IVT if f(x) is continuous on [a,b] and f(a) ≤ k ≤ f(b), there exists at least one value, x=c, on (a,b) such that f(c)=k
Derivative Of tan(x) sec^2(x)
Derivative Of csc(x) -cot(x)csc(x)
Derivative Of sec(x) tan(x)sec(x)
Derivative Of cot(x) -csc^2(x)
Derivative Of e^any (e^any) x (d/dx any)
Derivative Of ln(any) (1/any) x (d/dx any)
Derivative Of a^any (a^any) x (ln a) x (d/dx any)
Derivative Of loga(any) (1/any) x (1/lna) x (d/dx any)
Value Of ln(1) 0
Created by: abievans
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