Derivative e^x and ln x

Find the derivative:
y = 3ln(x²-3)

• 6x/(x²-3)
• 3/(x²-3)
• 3x/(x²-3)
• 9x/(x²-3)

• (3x²-2) cos(x³-2x)
• -(3x²-2) cos(x³-2x)
• cos(2x²-2)
• sin(2x²-2)

What is the derivative of tan(x)?

• -sec²(x)
• -csc²(x)
• sec²(x)
• csc²(x)

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Find h'(3)

• -2
• 0
• 1
• 3

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = xe^x + xe^x
• f'(x) = e^x - xe^x
• f'(x) = e^x + xe^x

4

• A
• B
• C
• D

What is the derivative of cot(x)?

• sec²(x)
• -sec²(x)
• csc²(x)
• -csc²(x)

What is the derivative of ln(√x)⁵?

• 5/√x
• 5/(2x)
• e^x
• 2/(5x)