Calculus- End of March Review

Which of the following is true?

• the derivative is a way to show rate of change, that is - the amount by which a function is changing at one given point

• dx/dy is the derivative

• cosx
• -cosx
• -sinx cosx
• sinx cosx

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

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

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

• 7
• 0
• 7x
• 14

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

At which x-value is f continuous but not differentiable?

• a
• b
• c
• d

Where is the graph not differentiable?

• x = -2, -1, 0, 1
• x = -2, -1, 1
• x = -2, -1
• x = -1, 

Derivative means the same thing as

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

Find the value of the derivative at the indicated x-value.

• 4
• 7
• 2
• -1