derivatives - power rule

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

• y' = 8x + 3 +12/x³

• y' = 8x + 3 -12/x³

• y' = 8x + 3 + 12/x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

Find dy/dx for y = 4x³ + 3x + 1

• dy/dx = 4x² + 3

• dy/dx = 4x² + 3x

• dy/dx = 12x² + 3x

• dy/dx = 12x² + 3

Tags

CCSS.HSA.APR.A.1

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the derivative of the funtion. (hint: you will need to multiply first!)

• 4x⁸+60x⁶+12x³

• 12x⁷+36x²

• 32x⁷+36x²

• 20x⁶

Tags

CCSS.HSA.APR.A.1

• A
• B
• C
• D

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Where on this graph would you find a HORIZONTAL tangent line?

• x = -3

• x = 0

• x = 3

• There are no horizontal tangent lines on this graph

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

At which point(s) will the slopes of the tangent line be zero?

(When does the slope of a line=0)

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

Differentiate y = $\frac{2x^2+x-3}{x}$  

Hint:  Simplify first, then take the derivative.

• y = 2x + 1 - 3x^-1

• y' = 4x + 1 - 1x^-2

• y' = 2 + 3x^-2

• y' = 4x + 1 - 3x^-2

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.D.6

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3