Differentiation Basics

Find the derivative of:
f(x) = 5 - 2x

• 5
• -2x
• -2
• 2

Find the derivative of:
f(x) = 2x² + 3

• 4x
• 2x
• 3
• 2x+3

Tags

CCSS.HSF.IF.A.2

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

• 4x
• 4x + 7
• 4x - 7
• 9

Find the derivative of:
f(x) = 2/x^0.5
hint: convert decimal to a fractional indice

• -1/x^1.5
• -2/x^1.5
• 2/x^1.5
• -2/x^0.5

Find the derivative of:
f(x) = -5/x⁴

• -20/x⁵
• 20/x⁵
• -20/x³
• 20/x³

Find the derivative of:
f(x) = 24x^{0.333..
hint: convert decimal to a fractional indice}

• 6/x^0.666...
• 6x^0.666...
• 8x^0.666...
• 8/x^0.666...

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

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

• 2x + 3
• 2x - 4
• 2x + 4
• 2x - 3

Find the derivative of:
f(x) = (x² +1)⁶

• 12(x² + 1)⁶
• 12x(x² + 1)⁶
• 12x(x² + 1)⁵
• 12(x² + 1)⁵

Find the derivative of:
f(x) = 7(3x + 4)⁵

• 35(3x + 4)⁵
• 35(3x + 4)⁴
• 105(3x + 4)⁵
• 105(3x + 4)⁴

Find the derivative of:
f(x) = (25 - x²)^0.5
hint: convert decimal to a fractional indice

• -1/(25 - x²)^0.5
• -2/(25 - x²)^0.5
• -x/(25 - x²)^0.5
• -2x/(25 - x²)^0.5

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2