Calc Review for Quiz 9. Product Rule& Slope of Tangent (Updated)

Find the slope, at x=1, of the line tangent to the graph of

f(x) = x⁴ + 4x³ - 2x²

• 1

• 16

• 12

• 8

Find the slope of the line tangent to the graph at x =2 if

f(x) = x² + 2x

• 2x + 2

• 6

• 12

• 2x

Find the slope of f(x) = 3x² – 4x at x = 4.

• m = 0

• f'(x) = 6x - 4

• f'(x) = 6x

• m = 20

Find the slope of the line tangent to function f(x)= 12sinx   at the point   $x=\frac{5\pi}{3}$  

•  12

• 6

• -6

• 0

Write the slope of the line tangent to the graph of y=x² – 2 at the point x = -8.

• 2

• -4

• -8

• -16

Calculate the derivative if f(x) = x² sin(x)

• f'(x)=x²cos(x)+2xsin(x)

• f'(x)=x²sin(x)+2xcos(x)

• f'(x)=x²sin(x)+2xsin(x)

Calculate the derivative, if f(x) = 5xcos(x)

• f'(x)= -5xsin(x) + cos(x)

• f'(x)= 5xsin(x) + 5cos(x)

• f'(x)= -5xsin(x) + 5cos(x)

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Find the slope of f(x) = x³ − 3x² +10x at x = -2.

• m = 0

• m = 210

• m = 10

• m = 34

Find the derivative if

f(x) = (5x² - 3) (-2x⁵ + 1)

• -20x⁶ + 10x

• -70x⁶ + 30x⁴ + 10x

• 5x² + 10x - 3

• -10x⁷ - 94x⁵ + 5x² - 3