Derivatives of a Function

Presentation

•

Mathematics

•

11th Grade

•

Medium

Jojit LEDESMA

Used 4+ times

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7 Slides • 27 Questions

Derivatives of a Function

Multiple Choice

What is the derivative of a constant, C?

Multiple Choice

Find the derivative of the given equation

f(x) = 7

Multiple Choice

What is the derivative of xⁿ?

(n-1)xⁿ

nxⁿ⁺¹

(n+1)x^n-1

nx^n-1

Multiple Choice

Find the derivative of the given equation
f(x) = x⁴

x³

4x³

x⁴

Multiple Choice

Find the derivative of y=3x²

x²

Multiple Choice

Find the derivative of y=2x⁵

10x⁴

10x

7x⁴

Multiple Choice

Find the derivative of y= -3x⁴

12x³

7x³

-12x³

-7x³

Multiple Choice

What is the derivative of $f\left(x\right)=2\ \sqrt[]{x}$

$\sqrt[]{x}$

$\frac{1}{\sqrt[]{x}}$

$\frac{2}{\sqrt[]{x}}$

D $-\ \sqrt[]{x}$

Multiple Choice

Find the derivative of the given equation
f(x) = x⁴ + 4x³- 2x²

x³ + x²- x

4x³ + 12x²+ 4x

4x + 12x - 4x

4x³ + 12x²- 4x

Multiple Choice

Find the derivative of the given equation
f(x) = x³ + x² + 3

3x² + 2x

3x + 2x

3x + 2x + 3

x³ + x²

Multiple Choice

What is the derivative of f(x) = 2x³- 4x + 5?

f'(x) = 6x² - 4x

f'(x) = 2/3x² - 4x

f'(x) = 3x² - 4

f'(x) = 6x² - 4

Multiple Choice

Which function has the derivative of g'(x) = 4x³ + 2x - 1

g(x) = 2x⁴ + 2x² - 1

g(x) = x⁴ + x² - x

g(x) = 2x³ + x³ - 2x

g(x) = x⁵ + x² - x

Multiple Choice

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

f'(x) = -24x^-4 + 5 - e^x

f'(x) = 24x^-4 + 5 - e^x

f'(x) = 24x^-2 + 5 - e^x

f'(x) = 24x^-4 + 5 - e^x-1

Multiple Choice

Let y = (x - 1)(x + 2). Find dy/dx.

2x + 1

2x - 1

4x - 1

2x² + x - 1

Multiple Choice

Find the derivative of y = 2x² (3x - 4)

6x³ - 8x²

18x² - 16x

15x²- 6x

6x - 4

Multiple Choice

4x²+8x+1

20x⁶+5x⁴

28x⁶+5x⁴-16x

Multiple Choice

5x⁴+ 20x³- 2

-160x⁷+140x⁶- 48x³- 24x²

-80x⁷+ 60x⁶+ 32x³- 24x²

Multiple Choice

Set up the derivative of y=(3x⁴- 7)*(5x²+ 1)

(12x³)*(10x)

(3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)

(3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)

(3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Multiple Choice

x⁵ + 5x⁴ + 2x³ + 6x² + 5

28x⁶ + 45x⁴ + 6x² + 40x

4x² + 8x + 1

4x⁷ + 49x⁵ + 50x³ + 20x² + 5

Multiple Choice

-36x⁸ - 80x⁴

-4x⁹ - 80x⁷ - 16x⁵

-4x⁵ - 20x⁴

-16x⁸

Multiple Choice

8x⁴ -60x²

16x⁴

(8x⁴ -60x²)/(2x²-5)²

Multiple Choice

Find the derivative of g(x)=(3x-2)/(x²+2)

9x²+2

3(x²+2)/(x²+2)²

(-3x²+4x +6)/(x²+2)²

(-3x²+10)/(x²+2)²

Multiple Choice

f '(x) =-8x⁵ + 12x³ + 8x/3x⁸ + 6x⁴ + 3

f '(x) = 48x⁵ - 36x³

f '(x) =-24x⁵ + 36x³ + 24x/16x⁴ - 24x² + 9

f '(x) =-12x³ + 8x/9x⁸ + 18x⁴ + 9

Multiple Choice

f '(x) = -5x³/x⁸ + 2x⁴+ 1

f '(x) = -80x³

f '(x) = -x³/x⁸ + 2x⁴ + 1

f '(x) = -16x³/5

Multiple Choice

f '(x) =-16x⁸ - 80x³/16x¹⁰ - 40x⁵ + 25

f '(x) = 80x⁸

f '(x) =-x⁵ - 5/x⁵

f '(x) = -16x⁸ - 80x³

Multiple Choice

f '(x) =6x⁷ - 30x⁴ + 30x³ + 30/4x⁹ + 20x⁶ + 25x³

f '(x) = 6x⁸ - 30x⁵ + 30x⁴ + 30x

f '(x) = 24x⁸ + 60x⁵

f '(x) =2x⁸ - 10x⁵ + 10x⁴ + 10x/3x⁸ + 6x⁴ + 3

Multiple Choice

f '(x) = 30x⁶ + 24x⁵ + 30x³

f '(x) =25x⁴ + 16x³ + 4x/9x⁴ + 12x² + 4

f '(x) =45x⁶ + 24x⁵ + 50x⁴ + 32x³ + 20x/9x⁴ + 12x² + 4

f '(x) =45x⁵ + 24x⁴ + 50x³ + 32x² + 20/25x⁹ + 40x⁸ + 16x⁷+ 50x⁶ + 40x⁵ + 25x³

Derivatives of a Function

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