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haterofmath
 3 years ago
find the the rate of change dy/dx
where x=x0
haterofmath
 3 years ago
find the the rate of change dy/dx where x=x0

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haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0\[y=17; x _{0}=3\]

daru
 3 years ago
Best ResponseYou've already chosen the best response.0If the function is the constant function y = 17, then the derivative of it (dy/dx) is simply 0. The derivative of any constant is "0". Remember that "derivative" means "the change y with respect to x" in this case. If y = 7 at all points, then it never changes with respect to x. Therefore, the change is 0.

haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0so what do you do with the 3

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1there has to be more to this question which you have not given us

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1if the equation for y is simply: y = 17 .. then daru is correct.

haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0sorry wrong problem \[y=62x; x_{0}=3\]

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1first step, is to take the derivative of y, but the method of that step differs depending on how youre spose to go about it. there is a first principals method, and the derivative rules method. Which method have you been doing in your lessons?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1derivative rules are much easier to work with then; what derivative rule would you say can apply to this question?

haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0wouldn't the derivative be 2

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1almost, that negative sign (subtraction) needs to be recognized :) y= 6  2x y' = 6'  (2x)' = 0  2

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1now, since there is no place to plug in the value of x in the derivative; the value of the derivative at ANY point is: 2

haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0/so how do you find that slope of tangent after taking the derivative?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1the value of the derivative DEFINES the slope of the tangent at a given point.

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1in this case, 6  2x is a straight line whose sloe is 2 at all points

haterofmath
 3 years ago
Best ResponseYou've already chosen the best response.0so in a problem such as f(x)=5x3 the slope of the line that is tangent is 5?

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1the more complicated the curve, the less trivial the derivative becomes :) take: y=x^2 y' = 2x the slope at any given point of y=x^2 is defined as 2x the slope at x=3 would be 2(3) = 6 the slope at x=7 would be 2(7) = 14 the slope at x=2 would be 2(2) = 4
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