Basic Differentiation Review

Differentiate f(x) = 4x².

• 8x
• 16x
• 16x^2
• 8x^2

Tags

CCSS.HSF.IF.A.2

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Find the derivative of:
f(x) = -5/x⁴

• -20/x⁵
• 20/x⁵
• -20/x³
• 20/x³

Find the derivative of:
f(x) = 2x² - 7x + 9

• 4x
• 4x + 7
• 4x - 7
• 9

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

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

Tags

CCSS.HSA.APR.A.1

Find the derivative of:
f(x) = (x - 4)(x + 7)

• 2x + 3
• 2x - 4
• 2x + 4
• 2x - 3

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

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

• 7
• 0
• 7x
• 14