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Find $f^{\prime}(x)$.$$f(x)=2 x^{2}-7 x+9$$.

$$2 x-7$$

Calculus 1 / AB

Chapter 2

An Introduction to Calculus

Section 1

Slope of a Curve

Derivatives

Missouri State University

Harvey Mudd College

University of Nottingham

Idaho State University

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

30:01

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (the rate of change of the value of the function). If the derivative of a function at a chosen input value equals a constant value, the function is said to be a constant function. In this case the derivative itself is the constant of the function, and is called the constant of integration.

02:17

Find $f^{\prime \prime}(x)…

01:35

Find $f^{\prime}(x)$$$…

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Find $f^{\prime}(x)$.$…

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Find $f(x)$.$$f^{\prim…

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01:01

00:32

Okay. The question is, what is the derivative of this function? Function of X? It is. The function is to excess square minus seven X plus nine. If you follow, their rules are expressed in the chapter, you will have the derivative e print. Exe to be for X. You multiplied by the power, but and then you subtract one from power. So two times 24 and then you take one from the power is one and then minus seven and derivative of nine is zero because nine is constant. So they developed that function wouldn't be four x minus of

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