Power Product and Quotient Review

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

Which of the following means "first derivative"

• f'(x)
• y'
• dy/dx
• all of the above

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = x⁴ 

• x³ 
• 4x
• 4x³
• x⁴

Find the derivative of: f(x) = 4x⁴-3x³-9

• 16x⁴-9x³

• 16x⁴-9x³-0

• 16x³-9x²-9

• 16x³-9x²

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-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