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Calculus 1 Application of derivatives Flashcards | StudBud
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Calculus 1 Application of derivatives
Calculus 1 Application of derivatives
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1
For the following optimization problem, express the unknown as a function of 1 variable.
C(x)=1*x+4*2*800/x
C(x)=4*x+1*800/x
C(x)=4*x+1*2*800/x
C(x)=1*x+4*800/x
2
Which of the following functions grows the fastest as x goes to infinity?
c)
b)
d)
a)
3
Use linear approximation to estimate 6 (85)
1/4
. Define f(x) and 'a' (the good number).
f(x)=6 (x)1/4, a=80
f(x)=6 (x)1/4, a=81
f(x)=6 (x)1/4, a=90
f(x)=(x)1/4, a=80
4
To show an equation has exactly one solution, which theorem shall we use?
Intermediate value theorem and Mean value theorem
Intermediate value theorem and Extreme value theorem
Intermediate value theorem and Local extreme point theorem
Mean value theorem and Rolle's theorem
5
f(x)=(lnx) e
5x
, then f'(x) is
d)
b)
a)
c)
6
Which of the following step is INCORRECT when finding the limit.
1/y dy/dx = (7 ln(sin2x+cos3x)/x)'
ln y = 7 ln(sin2x+cos3x)/x
y = lim(sin2x+cos3x)7/x
y = elny = eanswer in previous step
