What is the Product Rule used for?

To find the derivative of the product of two functions.

Product Rule Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Product Rule in mathematics?

Back

The Product Rule states that if you have two functions, f(x) and g(x), the derivative of their product is given by: (f * g)' = f' * g + f * g'.

2.

FLASHCARD QUESTION

Front

Simplify the expression: $4abc^6 \times -6a^2b^2 \times 8a^3b^3$

Back

$-192a^6b^6c^6$

3.

FLASHCARD QUESTION

Front

How do you read the expression $a^2b^3c^2$ ?

Back

a to the 2nd power, b to the 3rd power, c to the 2nd power.

4.

FLASHCARD QUESTION

Front

Simplify the expression: $3x^2 \times x$

Back

$3x^3$

5.

FLASHCARD QUESTION

Front

What is $5^2$ ?

Back

25

6.

FLASHCARD QUESTION

Front

What is $2^6$ ?

Back

64

7.

FLASHCARD QUESTION

Front

If $f(x) = x^2$ and $g(x) = x^3$ , what is $(f \times g)'(x)$ ?

Back

$2x^3 + 3x^2 \times x^2 = 2x^3 + 3x^4$ .

8.

FLASHCARD QUESTION

Front

What is the derivative of $x^n$ ?

Back

$nx^{n-1}$ .

9.

FLASHCARD QUESTION

Front

What is the result of $(-2) \times 3$ ?

Back

$-6$ .

10.

FLASHCARD QUESTION

Front

What is $a^0$ for any non-zero number a?

Back

1.

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