Ranking First Derivative Notations

Question

The first derivative of a function can be represented by several different notations. Which of the following lists correctly orders the notations $$D f(x)$$, $$\frac{d}{dx}f(x)$$, $$\frac{df}{dx}$$, and $$f'(x)$$ from least common to most common in introductory calculus courses?

Accepted Answer

$$D f(x)$$, $$\frac{d}{dx}f(x)$$, $$\frac{df}{dx}$$, $$f'(x)$$

Answer

$$\frac{d}{dx}f(x)$$, $$D f(x)$$, $$\frac{df}{dx}$$, $$f'(x)$$

Answer

$$f'(x)$$, $$\frac{df}{dx}$$, $$\frac{d}{dx}f(x)$$, $$D f(x)$$

Answer

$$\frac{df}{dx}$$, $$f'(x)$$, $$\frac{d}{dx}f(x)$$, $$D f(x)$$

Ranking First Derivative Notations

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