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Derivative Rules
| Question | Answer |
|---|---|
| Chain Rule | f(g(x)) derivative = f’(g(x))(g’(x)) |
| General Power Rule | u^n derivative = nu^(n-1)(u’) |
| Sine Derivative | cos |
| Cosine Derivative | -sin |
| Tangent Derivative | sec^2 |
| Cosecant Derivative | -((csc)(cot)) |
| Secant Derivative | (tan)(sec) |
| Cotangent Derivative | -csc^2 |
| Derivative Of "ln(x)" | 1/x |
| Logarithmic Properties | 1: ln(1)=0 ;; 2: ln(ab)=lna+lnb ;; 3: ln(a/b)=lna-lnb |
| Derivative Of "e^x" | e^x |
| Derivative Of "ln(a^n)" | (n)(lna) |
| Product Rule | f(x)g’(x)+g(x)f’(x) |
| Quotient Rule | (f’(x)g(x)-f(x)g’(x))/(g(x))^2 |
| Derivative Of "a^x" | (lna)(a^x) |
| Derivative Of "logax" | 1/lna) ⋅ lnx |
| Derivative Of "a^u" | (lna)(a^u)(u') |
| Derivative Of "logau" | (1/(lna ⋅ u)) ⋅ (u') |
Created by:
abievans
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