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AP Calculus

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Section 1

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g'(x)

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Calculus Math

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6 years ago

Date created

Mar 1, 2020

Cards (24)

Section 1

(24 cards)

g'(x)

Front

1/f'(g(x))

Back

d/dx (secx)

Front

secxtanx

Back

d/dx (tanx)

Front

sec^2x

Back

velocity is pos.

Front

when particle is moving right

Back

d/dx (lnu)

Front

(1/u)(du/dx)

Back

speed

Front

|velocity|

Back

rel. min

Front

f'(x)=0/DNE and sign of f'(x) changes from + to -

Back

d/dx (e^u)

Front

e^u(du/dx)

Back

d/dx [sin^-1(u/a)]

Front

u'/sqrt(a^2-u^2)

Back

d/dx [tan^-1(u/a)]

Front

a(u')/a^2+u^2

Back

f'(x)<0

Front

decreasing

Back

abs. max/min

Front

must check endpoints too

Back

rel. max

Front

f'(x)=0/DNE and sign of f'(x) changes from - to +

Back

d/dx (cotx)

Front

-csc^2x

Back

d/dx (sinx)

Front

cosx

Back

d/dx (cosx)

Front

-sinx

Back

accel. and velocity have same sign

Front

speed is increasing

Back

velocity is neg.

Front

when particle is moving left

Back

d/dx [cos^-1(u)]

Front

-1/sqrt(1-x^2)

Back

f'(x)>0

Front

increasing

Back

d/dx (cscx)

Front

-cscxcotx

Back

d/dx (x^n)

Front

nx^n-1

Back

f'(x)=0

Front

0/DNE; critical values @ x

Back

accel. and velocity ave different signs

Front

speed is decreasing

Back