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Chapter 2: Q 11. (page 237)

Translate expressions written in Leibniz notation to “prime” notation, and vice versa.
$\frac{d}{d x} (\frac{d}{d x} (x^{2}))$

Short Answer

Expert verified

$\frac{d}{d x} (\frac{d}{d x} (x^{2})) = f^{''} (x^{2})$

Step by step solution

Given Information

The given expression is $\frac{d}{d x} (\frac{d}{d x} (x^{2}))$

Simplification

$\frac{d}{d x} (\frac{d}{d x} (x^{2}))$ is written in Leibnitz notation.

Let $f = x^{2}$

It means differentiation of function $x^{2}$ with respect to $x$ .

In prime notation, it is written as $f^{''} (x^{2})$

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Most popular questions from this chapter

Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.

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Translate expressions written in Leibniz notation to “prime” notation, and vice versa.ddxddxx2

Short Answer

Step by step solution

Given Information

Simplification

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Most popular questions from this chapter

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Translate expressions written in Leibniz notation to “prime” notation, and vice versa.
$\frac{d}{d x} (\frac{d}{d x} (x^{2}))$