Calculus 1 Exam Questions and Answers 100% guaranteed

Calculus 1 Final Exam
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1. Continuity a function is continuous if:
1. f(a) is difined (a is the domain of f)
2. lim f(x) as x approaches a exists
3. f(x) = f(a)

2. Extreme Value if f is contunous on a closed interval [a,b] then f attains any
Theorum value between f(a) and f(b)

3. Newtons Method - xn+1 = xn - f(xn)/f'(xn) untill the difrance is substantially
small
- used to approximate the root of a function
- on a graph your initial guess will make a tangent line,
and using newtons method tangent lines keep being made
untill theyre closer

4. derivitive of a - f(a+h) - f(a)/h
funtion

5. diferentibility cri- - a corner or kink
teria - discontinuty
- vertical tangent line

6. triginomic derivi- - sin = cos
tives basics - cos = -sin
- tan = sec^2
- csc = -csccot
- sec = sectan
- cot = -csc^2

7. derivitive of b^x b^(x)lnb

8. derivitive of g'(x)/g(x)
ln(g(x))

9. derivitive of - 1/f'(f^-1(x))
f^(-1)(x)

10. derivvitive of in- - sin^-1 = 1/sqrt(1-x^2)
verse trig func- - cos^-1 = -1/sqrt(1-x^2)
tions - tan^-1 = 1/1+x^2
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