Derivatives practice

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

• 2x + 7

• 10x + 7

• 10x + 4

• 2x + 4

Differentiate y = -19

• -19

• 0

• 19

• Not differentiable

• (1/2)x^-7

• (1/2)x^-9

• -32x^-9

• -32x^-7

• A

• B

• C

• D

• A

• B

• C

• D

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2

• 6

• 12

• 2x

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

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What is the derivative of sin(x)?

• -sin(x)

• -cos(x)

• cos(x)

• sin(x)