Derivatives #1

• -3
• 8
• 0
• 9

• cosx
• -cosx
• -sinx cosx
• sinx cosx

• secx tanx
• sec²x
• cscx cotx
• -cscx cotx

Tags

CCSS.HSF.TF.C.8

Find the derivative.
f(x) = -8x^-3 + 5x - e^x

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

Tags

CCSS.HSF.IF.A.2

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Tags

CCSS.HSA.APR.D.7

• csc x
• sec x
• cot x
• tan x

Find the equation of the tangent line at the given point.

• y+1=3(x+1)
• y+1=⅓(x+1)
• y-1=3(x+1)
• y=3x-1

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.8

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

Derive f(x)

• (3x²-5)/(2x³-10x)
• 1/√(x³-5x)
• 1/√(3x²-5)
• 1/(2x³-10x)