Derivative Review Check

Find the slope of the tangent line to the graph of the function y=2-7x at (-1,9)

• -7

• -2

• 2

• 7

• -9

Find an equation of the tangent line to the graph of y=x² +5x +2 at the point (-5,2)

• y=-23

• y= -5x - 23

• y = 15x

• y = 5x

• y= -15x -73

Use the alternate form of the derivative to find the derivative of the function y = 3/x² at x = 2

• 3/4

• -3/4

• 3/8

• -3/2

• -9/16

Determine the derivative of the function y = -4x² - 4cosx

• -4x + 4sinx

• -8x + 4sinx

• -8x + 4cosx

• -8x - 4sinx

• -8x - 4cosx

Find the slope of the graph of the function y = -5/x³ at x=9

• -5/2187

• -5/729

• 5/27

• -5/27

• 5/2187

The volume of a cube with sides of length s is given by V=s³. Find the rate of change with respect to s when s=6.

• 648

• 216

• 36

• 108

• 72

Use the product rule to differentiate y = x⁵cosx

• -5s⁴sins

• -s⁵cos(s) + 5s⁴sin(s)

• -s⁵sin(s) - 5s⁴cos(s)

• -s⁵sin(s) + 5s⁴cos(s)

• s⁵sin(s) + 5s⁴cos(s)

Determine all values of x, (if any), at which the graph of the function has a horizontal tangent: y=x³+12x²+8

• x=0

• x=-8

• x=0 and x = - 8

• x=0 and x = 8

• the graph has no horizontal tangents

Find the derivative of the function y=8sin(5x)

• 40sin(5x)

• 40cos(5x)

• -8sin(5x)

• -40cos(5x)

• 8cos(5x)

Find the derivative of the function y=9xsix(x) + 5cos(x)

• 9xsin(x) - 4cos(x)

• 9xcos(x) + 4sin(x)

• 9xsin(x) - 9cos(x)

• -9xcos(x) + 4cos(x)

• 9xcos(x) +5 sin(x)