Derivative Rules Quiz

What is the derivative of a constant, C?

• C
• 1
• 0

What is the derivative of ax?

• a
• x
• 1
• 0

What is the derivative of xⁿ?

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

Tags

CCSS.HSF.BF.B.5

What is the derivative of cos(x)?

• -cos(x)
• sin(x)
• cos(x)
• -sinx

What is the derivative of tan(x)?

• -sec²(x)
• -csc²(x)
• sec²(x)
• csc²(x)

Tags

CCSS.HSF.TF.C.9

What is the derivative of cot(x)?

• -sec²(x)
• -csc²(x)
• sec²(x)
• csc²(x)

What is the derivative of sec(x)?

• sec(x)tan(x)
• -csc(x)cot(x)
• -sec(x)tan(x)
• csc(x)cot(x)

What is the derivative of csc(x)?

• sec(x)tan(x)
• -csc(x)cot(x)
• -sec(x)tan(x)
• csc(x)cot(x)