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Calc I - 1
Calculus I (math 170) Derivative Identities
| Term | Definition |
|---|---|
| f'(a) as a approaches 0 (using h) | f(a+h)-f(a)/h |
| f'(a) as a approaches 0 (no h) | f(x)-f(a)/x-a |
| Slope intercept form | y=f'(a)(x-a)+f(a) |
| (x^n)' | nx^n-1 |
| (f+g)' | f'+g' |
| c=constant (cf)' | c(f)' |
| (fg)'(x) | f(x)g'(x)+g(x)f'(x) |
| (f/g)'(x) | g(x)f'(x)-f(x)g'(x)/g(x)^2 |
| (f(g(x)))' | f'(g(x))g'(x) |
| (f(x)^n)' | n(g(x))^n-1 g'(x) |
| (e^g(x))' | g'(x) e^g(x) |
| (f(mx+b))' | m f'(mx+b) |
| b^x (using ln) | (lnb)b^x |
| (lnx)' | 1/x |
| ln(f(x)) | f'(x)/f(x) |
Created by:
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