What best describes what a derivative is? What is the slope of the function  when x=2

1. Given the following supply and demand equations

LaTeX: Q^s=28+5P

LaTeX: Q^D=100-3P

What is the surplus when P=15?

2. Given the function LaTeX: f\left(x\right)=x^{3\:}-2x+4

What is the value of x when LaTeX: f\left(x\right)=8?

3. What best describes what a derivative is

slope of a function

a tangent line

the slope of a function at a given point

Slope of a secant line

which one?

4. What is the slope of the function LaTeX: f\left(x\right)=5x+1 when x=2

5. What is the slope of the function f(x)=5, when x=2

6. What is the slope of the function LaTeX: f\left(x\right)=5x^2+5x-2, when x=2

7. What is the slope of the function LaTeX: f\left(x\right)=5x^3+5x^2-5x+4, when x=2?

8. What is the value of x when the function LaTeX: f\left(x\right)=-2x^2+8x-12, has a slope of -4?

9. What is the smallest value of x when the function LaTeX: f\left(x\right)\:=\frac{\:2}{3}x^3-2x^2-10x+8, has a slope that equals 0?

10. What is the largest value of x when the function LaTeX: f\left(x\right)\:=\frac{\:2}{3}x^3-2x^2-10x+8 has a slope that equals 0?

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