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AP Calculus Unit 3
| Question | Answer |
|---|---|
| Product Rule | [f'(x) x g(x)] + [g'(x) x f(x)] |
| Quotient Rule | [g(x) x f'(x)] - [g'(x) x f(x)] // g(x)² |
| Chain Rule | f' x [g(x)] x g' = derive outside, leave inside, derive inside |
| Derivative Of Cosine | -sinx |
| Derivative Of Sine | cosx |
| Derivative Of Tangent | sec²x |
| Derivative Of Cosecant | –csc(x)cot(x) |
| Derivative Of Secant | tan(x)sec(x) |
| Derivative Of Cotangent | -csc²(x) |
| Differentiation Rule For Natural Exponential Functions [e^any] | d/dx e^any = e^any x derive(any) |
| Differentiation Rule For Natural Logarithmic Functions [ln(any)] | d/dx ln(any) = 1/any x derive(any) |
| Differentiation Rule For Exponential Functions [a^any] | d/dx a^any = a^any x lna x derive(any) |
| Differentiation Rule For Logarithmic Functions [loga(any)] | d/dx log_a_(any) = 1/any x 1/lna x derive(any) |
Created by:
abievans
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