Across
- 9. If a function is positive on an interval, then the derivative must be _____ on that same interval.
- 10. To say that a function is concave up, means that the slope of the tangent line is _______.
- 11. The derivative of a variable (x) = ______.
- 12. If the derivative changes concavity at x=2, we can say it has an ________ point at x=2.
- 14. The derivative of a constant = ______.
- 15. If a function changes sign at x=a, going from positive to negative, that means the function has a relative _______ at 'a'.
- 16. In integral calculus, rather than studying derivatives, we study ________.
Down
- 1. An integral function is _______ on an interval if the area above the x-axis is greater than the area below the x-axis.
- 2. A function has a relative minimum if our ______ goes from being negative to positive at a point.
- 3. The second derivative determines _______ of the function.
- 4. If a function changes it's sign, the derivative must have an ______ at that point.
- 5. The second fundamental theorem of calculus states that, "Given F(x) = the definite integral from a-x of f(t)dt, if f is ________ on the interval [a,x], then F'(x) = f(x).
- 6. The derivative of tan(x) = ______.
- 7. The derivative of sin(x) = ______.
- 8. If a function changes sign at x=a, going from negative to positive, that means the function has a relative _______ at 'a'.
- 13. The derivative of cos(x) = ______.