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Find The Derivative Of A Function Using The Constant Multiple Rule

Fill in the blank:
Given f(x)= 2x³ is constant, d/dx [f(x)]=

3x

x³

6x²

Fill in the blank: d/dx [7x³]=

21x²

0 17x

Is the sentence true or false ?
The derivative of f(x) =4x⁵ is x⁴.

True

False

Is the sentence true or false ?
let f(x)=3x⁸ then f^'(x) =24x⁷.

True

False

Fill in the blank: d/dx [4x²]=

1 8x

2

Is the sentence true or false ?
Let f(x) = 2x⁷ then f’(x)=14x⁶.

True

False

Fill in the blank: d/dx [3x⁴]=

0 b

12x³

Fill in the blank: d/dx [23x²]=

23 46x

1

Fill in the blank: d/dx [15x²]=

17

1 30x

Fill in the blank:
$\frac{d}{dx}\left[5x^n\right]=$

ncⁿ

0 5nx^n-1

Questions

Time

Score

Find The Derivative Of A Function Using The Constant Multiple Rule

Fill in the blank:Given f(x)= 2x3 is constant, d/dx [f(x)]=

3x

x3

6x2

Fill in the blank: d/dx [7x3]=

21x2

0

17x

Is the sentence true or false ?The derivative of f(x) =4x5 is x4.

True

False

Is the sentence true or false ?let f(x)=3x8 then f'(x) =24x7.

True

False

Fill in the blank: d/dx [4x2]=

1

8x

2

Is the sentence true or false ?Let f(x) = 2x7 then f’(x)=14x6.

True

False

Fill in the blank: d/dx [3x4]=

0

b

12x3

Fill in the blank: d/dx [23x2]=

23

46x

1

Fill in the blank: d/dx [15x2]=

17

1

30x

Fill in the blank:﻿﻿ddx[5xn]=\frac{d}{dx}\left[5x^n\right]=dxd​[5xn]=﻿

ncn

0

5nxn-1

Incorrect

Great!

Fill in the blank:
Given f(x)= 2x³ is constant, d/dx [f(x)]=

x³

6x²

Fill in the blank: d/dx [7x³]=

21x²

Is the sentence true or false ?
The derivative of f(x) =4x⁵ is x⁴.

Is the sentence true or false ?
let f(x)=3x⁸ then f^'(x) =24x⁷.

Fill in the blank: d/dx [4x²]=

Is the sentence true or false ?
Let f(x) = 2x⁷ then f’(x)=14x⁶.

Fill in the blank: d/dx [3x⁴]=

12x³

Fill in the blank: d/dx [23x²]=

Fill in the blank: d/dx [15x²]=

Fill in the blank:
$\frac{d}{dx}\left[5x^n\right]=$

ncⁿ

5nx^n-1