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Final Exam Review Chp 3

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harryprim's version from 2015-12-10 01:47

Section 1

Question Answer
d/dx cotx-csc(x)^2
d/dx cscx-cscx cotx
d/dx secxsecx tanx
d/dx tanxsec(x)^2
Cos1/sec x-value
Sin1/csc y-value
cotcos/sin
tansin/cos
sin(x)^2+cos(x)^2=?1
when asked to find the points on a curve where the tangent is horizontal..set f'=0
memorize

Section 2

Question Answer
d/dx(arcsinx) or sin^-11/√(1-x^2)
d/dx(arccos) or cos^-1-1/√(1-x^2)
d/dx(arctan) or tan^-11/(1+x^2)
memorize

Section 3

Question Answer
d/dx(lnx)1/x
d/dx (a^x) a^x ln(a)
d/dx(loga(x))1/(x•ln(a))
A particle speeds up or slows down when The velocity and acceleration are both >0 or both <0
y=loga(x) is equivalent to b^y=x
loga(x/y)=loga(x)-loga(y)
loga(xy)=loga(x)+loga(y)
What is the linear approximation of f (x) at x = a?f(x) = f(a) + f ′(a)(x − a)
Given a function y = f (x), the differential dy is defined asdy=f'(x)dx
dx and dy represent what?the small changes in x and the resulting small changes in y
memorize