3.3-3.5,3.7 Derivative Rules Test Review

A function whose graph is otherwise continuous will fail to have a derivative at a point where the graph has a...

• corner, cusp, horizontal tangent, discontinuity
• corner, cusp, vertical tangent, continuity
• corner, cusp, vertical tangent, discontinuity
• corner, curve, vertical tangent, continuity

Where is the graph continuous yet NOT differentiable?

• x = a, b, c, d
• x = b, c, d
• x = a, b, 
• x = b, d

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Find the equation of the tangent line y = (x² + 3)/(2x) at the point (1, 2)

• y = x - 3
• y = -x - 3
• y = -x + 3
• y = x + 3

Which option shows the same expression?

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Tags

CCSS.6.EE.A.4

Which option is using correctly the quotient rule?

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Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Which option shows the correct use of the limit procedure for  $f\left(x\right)=x^2+x$  

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What is the definition of derivative?

Choose all the options that apply.

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Find the derivative.

• sinx
• -sinx
• tanx
• -tanx

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