# Derivatives List & Flashcards

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**10x+cos(2x)**.

Using the 'chain rule,' differentiate the 30th power first, leaving (1-4x+7x^5) unchanged. Then differentiate (1-4x+7x^5).

Answer: **30(35x^4-4)(1-4x+7x^5)^29**.

Using the 'chain rule,' differentiate the sine function first, leaving (5x) unchanged. Then differentiate (5x).

Answer: **5 cos (5x)**.

Using the 'chain rule,' differentiate the square first, leaving (3x+1) unchanged. Then differentiate (3x+1).

Answer: **6 (3x+1)**

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## Flashcard Content Overview

Solving trigonometric functions can look like a challenge, but applying the rules of differentiation and using derivatives can help you solve just about any of them. Challenge your understanding of the rules and the common derivatives with these flashcards.

Using the 'chain rule,' differentiate the square first, leaving (3x+1) unchanged. Then differentiate (3x+1).

Answer: **6 (3x+1)**

Using the 'chain rule,' differentiate the sine function first, leaving (5x) unchanged. Then differentiate (5x).

Answer: **5 cos (5x)**.

Using the 'chain rule,' differentiate the 30th power first, leaving (1-4x+7x^5) unchanged. Then differentiate (1-4x+7x^5).

Answer: **30(35x^4-4)(1-4x+7x^5)^29**.

**10x+cos(2x)**.

**20x^3+6x^2+70x+9**.

**x^2(1+3lnx)**.

**-2 / (x+1)^2**

**x (3x-2) / (3x-1)^2**.

**(xcos(x) - 2sin(x)) / x^3**.

**15 / (2-z)^2**

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Math Flashcards9 chapters | 52 lessons | 52 flashcard sets