Derivatives Practice

Which rule would I use to find the derivative of 8xy²?

• chain rule

• product rule

• power rule

• quotient rule

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x

• f ''(x) =  2-30x⁵

• f ''(x) = -30x⁵

• f ''(x) = -150x⁴

Tags

CCSS.HSA.APR.A.1

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²

• 18x² - 16x

• 15x² - 6x

• 6x - 4

Tags

CCSS.HSA.APR.A.1

Find the derivative.

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.TF.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

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴

• f'(t) = 5(t² + 2t)⁴

•  f'(t) = 5(t² + 2t)⁴(2t)

• f'(t) = 5(t² + 2t)⁴(2t + 2)

f(x)= 9/∛x
f'(x) =

• 9x^-1/3

• -3x^-4/3

• -9x^2/3

• -3x^2/3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.2

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

• 7

• 0

• 7x

• 14

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400

• y = 100x + 400

• y = -500 x - 400

• y = 500x - 400

At which x-value is f continuous but not differentiable?

• a

• b

• c

• d

Tags

CCSS.HSA.REI.D.10