What is the derivative of f(x) = 3x (x2 - 6x)4

3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)

Derivatives Review: Da Basics Flashcards

1

What is the rule shown in the image

Quotient Rule
Chain Rule
Product Rule
None of the above

2

What is the derivative of the function f(x) = (2x² + 4x)⁵

(2x2 + 4x)4(4x + 4)
5(4x + 4)4
5(2x2 + 4x)4(4x + 4)
5(2x2 + 4x)(4x + 4)

3

What is the derivative of y = x + cot(x)

1-sec2(x)
1-csc2(x)
1+sec2(x)
1+csc2(x)

4

Find the derivative of y = e^sin(x)

cos(x)esin(x)
ecos(x)
esin(x)
sin(x)ecos(x)

5

What is the derivative of ln(2x²)

4ln(2x)
2ln(2x)
2/x
1/(2x2)

6

Differentiate the function f(x) = e^{(x^4)}

ex^4
4x3ex^4
4x3ex^3
4x3

7

What is the rule shown in the image

None of the above
Chain Rule
Product Rule
Quotient Rule

8

Find the derivative of y = csc(x)

sec(x)
csc2(x)
sec(x)tan(x)
-csc(x)cot(x)

9

What is the derivative of f(x) = 2x²¹ + 5x⁵ + 2

42x20 + 25x4 + 2x
42x20 + 25x4
42x21 + 25x5 + 2
42x21 + 25x5

10

What is the rule shown in the image

None of the above
Product Rule
Quotient Rule
Chain Rule

11

What is the derivative of f(x) = ln(3)

3/x
1/3
1/3x
0

12

What is the derivative of the function f(x) = cos(x) + 7x³

csc2(x) + 21x2
-cos(x) + 21x2
sin(x) + 21x2
-sin(x) + 21x2

13

The derivative of a function is referred to as the...

set of solutions of an equation
slope of a line at a point
zero of a function
None of the above

14

What is the derivative of f(x) = 3x (x² - 6x)⁴

3(x2 - 6x)4 + 4(x2 - 6x)3(2x - 6)
12x (x2 - 6x)3(2x - 6)
12x (x2 - 6x)3
3(x2 - 6x)4 + 12x(x2 - 6x)3(2x - 6)

15

What is the derivative of the function f(x) = x⁵+ 4x²- 13

5x + 8x
5x4 + 8x
5x4 - 8x
(1/6)x6 + (4/3)x3 - 13x

Derivatives Review: Da Basics

Questions 15

Derivatives Review: Da Basics

Questions 15