Find f^'(a) f(x)=√(1-2 x)

Name: Problem 35, Chapter 2: Calculus
Uploaded: 2020-04-01T03:45:00-08:00
Duration: 3 min 51 s
Channel: Bobby Barnes
Description: Find f^'(a) f(x)=√(1-2 x)

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Key Concepts

Derivative

The derivative is a fundamental concept in calculus that measures the instantaneous rate of change of a function with respect to its variable. It provides information on how the function behaves and changes at any given point.

Chain Rule

The chain rule is a formula used to differentiate composite functions, where a function is applied inside another function. It allows the differentiation process to be broken down into the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function.

Differentiation of a Square Root Function

Differentiating a square root function involves recognizing it as a power function (expressed as an exponent of 1/2) and then applying the power rule in conjunction with the chain rule. This method is used to handle functions under a radical sign effectively.

Evaluation at a Specific Point

Evaluating a derivative at a specific point involves first finding the general formula for the derivative and then substituting the particular value of the variable into this formula to obtain the instantaneous rate of change at that point.

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