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15 Cards in this Set
- Front
- Back
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Derivate |
a tool for making predictions about how something is changing with respect to something else |
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Derivate |
is a function whose output at x is the slope of f at x |
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Increasing |
positive |
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vertex |
zero |
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decreasing |
negative |
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6 notations |
f'(x) |
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when the graph of f(x) increasing what happens to the graph of fx |
above the x-axis |
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when the graph of f(x) decreasing what happens to the graph of fx |
below the x-axis |
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when the graph of f(x) has a vertex what happens to the graph of f'? |
d |
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Alternate Definition of Derivative |
lim as x approaches a of (f(x)-f(a))/(x-a) |
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Product Rule |
d/dx f*g=f*g'+g*f' |
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Sum Rule |
d/dx(f+g)=f'+g' |
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Quotient Rule |
d/dx(f/g)=gf'-fg'/g² |
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Chain Rule |
f'(x)=d/dx u(v(x)) |
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Equation for a Circle |
(x-h)^2+(y-k)^2=r^2 |
