AP Calculus AB - Unit 2

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15 Terms

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d/dx(sinx)

cosx

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d/dx(cosx)

-sinx

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d/dx(tanx)

sec^2x

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d/dx(cscx)

-cscxcotx

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d/dx(secx)

secxtanx

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d/dx(cotx)

-csc^2x

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Chain rule

d/dx f(g(x)) = f'(g(x)) g'(x)

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quotient formula

g(x)f'(x)-f(x)g'(x)/g(x)^2

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d/dx(lnx)

1/x

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Product Rule

f'(x)g(x)+f(x)g'(x)

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differentiability of systems of equations

check for continuity then find derivatives at the value

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equations of tangent lines

  1. find y value by pluging in x
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  1. find derivative of tangent line for slope
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  1. use point slope form
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definition of a derivative

lim h->0 f(x+h)-f(x)/h