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| slope of tangent line of a function |
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Definition
| If f(x)<= g(x) <= h(x) when x is near "a" and lim x->a f(x) = lim x->a h(x)= L, then lim x->a g(x)= L |
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| functions that are continuous at every number in their domains (7 functions) |
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Definition
| polynomials, rational functions, root functions, trigonometric functions, exponential functions, logarithmic functions |
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| Intermediate Value Theorem |
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Definition
| Suppose that f is ocntinuous on the closed interval [a,b], and let N be any number between f(a) and f(b), where f(a) does not equal f(b). Then there exists a number c in (a,b) such that f(c) = N |
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| m = lim x->a [f(x)-f(a)] / (x-a) = f'(a) |
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Definition
| The tangent line to the curve y=f(x) at the point P (a, f(a))is the line through with slope... |
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| If f is differentiable at a, then... |
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Definition
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| f'(x) = lim h->0 [f(x+h)- f(x)] / h |
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Definition
| how to find the derivative |
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Definition
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Definition
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| power rule: d/dx x^n= ... |
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Definition
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Definition
| d/dx(f(x) x g(x) = f'(x)g(x) + f(x)g'(x) |
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Definition
| d/dx [f(x)/g(x)] = [f'(x)g(x)- f(x)g'(x)] / (g(x))^2 |
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