Derivative of power and constant rule

What is the derivative of 𝑓(𝑥)=3𝑥4?

• 12x^3
• 12x^2
• 9x^4
• 6x^3

Find the derivative of 𝑔(𝑥)=5𝑥7?

• 30x^6
• 25x^6
• 35x^6
• 40x^6

Find the derivative of 𝑔(𝑥)=4𝑥3−6𝑥2+8𝑥−2.

• 12x^2 - 12x - 2
• 12x^2 - 6x + 8
• 4x^3 - 6x^2 + 8x
• 12x^2 - 12x + 8

What is the power rule formula for finding the derivative of a function 𝑓(𝑥)=𝑎𝑥𝑛, where 𝑎 and 𝑛 are constants?

• f′(x)= n𝑥^(n-1)

• f′(x)= 𝑎n𝑥^(n+1)

• f′(x)= 𝑎n𝑥^(n)

• f′(x)= 𝑎n𝑥^(n-1)

What is the derivative of ℎ(𝑥)=−5𝑥3+9𝑥2−7𝑥+3

• -15x^2 + 18x + 7
• -5x^2 + 9x - 7
• -15x^3 + 18x^2 - 7x
• -15x^2 + 18x - 7

What is the derivative of the constant function 𝑓(𝑥)=7?

• 7
• 1
• 14
• 0

If ℎ(𝑥)=6𝑥10, what is ℎ′(𝑥)?

• 36x^10
• 30x^10
• 50x^9
• 60x^9

What is the derivative of the constant function f(x)=c, where 𝑐 is a constant?

• 1
• c
• 0
• 2

Consider the function 𝑓(𝑥)=−2𝑥3+3𝑥2−5𝑥+1. What is the derivative of f(x)

• -6x^2 + 5x - 5
• -6x^2 + 6x - 5
• -6x^2 + 6x + 5
• -2x^3 + 3x^2 - 5x

find the derivative of f(x)=(1-x)?

• 2
• -1
• 0
• -x