`g(x) = sqrt(4 - 3x^2)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 12 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`g(x) = sqrt(4 - 3x^2)`

`or, g(x) = (4- 3x^2)^(1/2)`

`thus, g'(x) = (1/2)*(4-3x^2)^(-1/2)*(-6x)`

`or, g'(x) = -(3x)/(4-3x)^(1/2)`

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hkj1385's profile pic

hkj1385 | (Level 1) Assistant Educator

Posted on

`g(x) = sqrt(4-3x^2)`

`or, g(x) = (4-3x^2)^(1/2)`

`Thus, g'(x) = (1/2){(4-3x^2)^(-1/2)}*(-6x)`

`or, g'(x) = -(3x/2)*(4-3x^2)^(-1/2)`

`or, g'(x) = -(3x/2)*1/(4-3x)^(1/2)`

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hkj1385 | (Level 1) Assistant Educator

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By mistake the final answer is wrongly typed.Please find the correct answer in the next post.

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