Is The Derivative The Slope Math

Clearly very similar ideas. It s like slope but not the exact same. But slopes are always numbers like the slope of 2 x is 2.

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The derivative of math x 2 2x math so the derivative of math x 2 math at 2 is 4.

Is the derivative the slope math. Slope dne math f x x. Derivative and slope are the same thing. And some say the change of slope per x is derivative. The real derivative is obtained from the instantaneus rate of change in y with respect of x or the slope of the tangent line at that point.

Math it is tangent to the curve and does not need to pass through any other point on the curve. But let s look at the important differences. A derivative of a function is a representation of the rate of change of one variable in relation to another at a given point on a function. The change of y per x is slope.

Wich is the same just think of the line at the video like a visual orientation of how we get the derivative of a curve. The derivative is 2 x. The slope describes the steepness of a line as a relationship between the change in y values for a change in the x values. Rather it s a function that gives you slope.

But in a calculus class it is merely a step in the development of the derivative a case of what the teacher talks about but not what they need to know for the exam. So it is like slope of a slope. The belief that average rates of change are not significant is reinforced when as in stewart s calculus the derivative is introduced as the slope of the tangent line. What that means is that at any x coordinate of x 2 you can get the slope by plugging in that x coordinate into your derivative.

But you are getting confused with the slope. 3 votes see 4 more replies.