Derivatives Practice

• 4x⁹ + 6x⁷
• (2/5)x⁹ + (3/4)x⁷
• 20x⁹ + 24x⁷
• x⁹ + x⁷

• (1/2)x^-7
• (1/2)x^-9
• -32x^-9
• -32x^-7

Find the derivative:
y = (4x - 5)(2x + 3)

• 8
• 8x
• 16x
• 16x + 2

• A
• B
• C
• D

• A
• B
• C
• D

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

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx