Question

Determine the slope of the secant line through the given x values:
-3x^5+9x^3-7x+11, x=-7.3, x=11.2

Answer 1

typo, this is better\[m=\frac{f(x_1)-f(x_2)}{x_1-x_2}\]

Answer 2

m is a common letter that is used to indicate slope

Answer 3

okay thanks. How would you find the slope of a tangent line through a given value of x? Example: f(x)=2x^2+6x-7, x=3

Answer 4

do you know what a derivative is?

Answer 5

yes

Answer 6

the slope of the tangent line at a given point is the derivative of the equation using the given value of x to find its value

Answer 7

f'(x) = slope of tangent

f'(3) = slope of tangent line at x=3

Answer 8

so for that example it would be 18 right?

Answer 9

2x^2+6x-7

4x+6 .... yep, 18 looks good

Answer 10

awesome thanks

Answer 11

youre welcome, and good luck