What is the product rule in differentiation?

The product rule states that if $$y = u \times v$$ , then $$y$$ .

What is the quotient rule in differentiation?

The quotient rule states that if $$y = \frac{u}{v}$$ , then $$y$$ .

What is the derivative of $$\text{ln}(x)$$ ?

$$\frac{d}{dx} \text{ln}(x) = \frac{1}{x}$$ .

What is the derivative of $$\text{sin}(x)$$ ?

$$\frac{d}{dx} \text{sin}(x) = \text{cos}(x)$$ .

What is the derivative of $$\text{cos}(x)$$ ?

$$\frac{d}{dx} \text{cos}(x) = -\text{sin}(x)$$ .

What is the derivative of $$x^n$$ ?

$$\frac{d}{dx} x^n = nx^{n-1}$$ .

What is the derivative of $$a^x$$ where $$a$$ is a constant?

$$\frac{d}{dx} a^x = a^x \text{ln}(a)$$ .

Calc Flashcard 13B: Derivative of Exponential &Log (2024 Updated) Flashcards

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FLASHCARD QUESTION

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4.

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5.

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6.

FLASHCARD QUESTION

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Define the derivative of a function.

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The derivative of a function measures the rate at which the function's value changes as its input changes.

7.

FLASHCARD QUESTION

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What is the chain rule in differentiation?

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