Derivatives Review

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx by Implicit Differentiation
xy = 6

• -x/ y
• -y/ x
• -6y/ x
• y/x

Find dy/dx
xy+y²=2

• -y/(x+2y)
• y/(x+2y)
• -3y/x
• -3x/y

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5

What is the derivative of y³ with respect to x?

• 3y²
• 3y² (dy/dx)
• 3x²
• 3x² (dx/dy)

What is the derivative of tan y  with respect to x?

• sec y (dy/dx)
• sec²y (dy/dx)
• tan²y (dy/dx)
• sec²y

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Find the second derivative of f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

find the derivative of the following: ln(3x²-5x) ?

• (6x-5)/(3x²-5x)

• 6x-5

• (x³/3)-(5x²)/2

• (6x-5)/(3x³-2x)