Differentiating Function Equation

Find the derivative of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

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

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

• A

• B

• C

• D

Tags

CCSS.HSF.IF.B.4

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

The derivative of a function is its

• Sign
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator