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Calculus Project
John's Calc Final
| Question | Answer |
|---|---|
| What is the derivative of: cos(x) | -sin(x) |
| What is the derivative of: sin(x) | cos(x) |
| What is the derivative of: tan(x) | sec^2(x) |
| What is the derivative of: sec(x) | sec(x)tan(x) |
| What is the derivative of: csc(x) | -csc(x)cot(x) |
| What is the derivative of: cot(x) | -csc^2(x) |
| What is the derivative of a Constant? | 0 |
| What is the derivative of a variable "x" to the first power? | 1 |
| What is the derivative of a variable "x" to the "nth" power or x^n? | nx^n-1 |
| What is the derivative of a natural log? | 1/x |
| What is the derivative of an exponential function "e^ax"? | ae^ax |
| What is the derivative of a variable "x" to the variable "y" power? | (x^y)ln(x+1) |
| What is the derivative of a log base "x" of "u"? | 1/lnx(u) |
| What is the derivative of Velocity? | Acceleration |
| What is the derivative of Position? | Velocity |
| What is meant by the term "Change in "x" over change in "y"? | Slope |