Derivative & Integral Formulas

What is the derivative of xⁿ?

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

Tags

CCSS.HSF.IF.A.2

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 sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

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)
• -sec²(x)
• csc²(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)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

What is the derivative of a^x?

• a^x
• xa^x-1
• ln(a)
• a^xln(a)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4