derivatives practice

Find the derivative of f(x) = 5x² + 7x - 3.

• 2x + 7
• 10x + 7
• 10x + 4
• 2x + 4

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

• 8
• 8x
• 16x
• 16x + 2

• A
• B
• C
• D

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 3(x² + 1)²(2x)
• dy/dx = 2x(x² + 1)²

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

Find the derivative: h(x)=(3x+2)(5x³+2x)

• 60x³+30x +12x-4
• 60x³-30x²+12x-4
• 45x³+30x²+12x+4
• 60x³+30x²+12x+4

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

• 4

• 5

• 6

• 7

What is the derivative of cot(x)?

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