Calculus Derivative Practice 1

Where is the graph not differentiable?

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

The derivative of a function is its

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

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Calculate the derivative using the product rule

• 
• 
• 

Find the slope of f(x) = −3x² − 6x at x = 1.

• m = 0

• f'(x) = −6x − 6

• f'(x) = 6x

• m = −12

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.6

Given f(x) = 3e^x + cosx, f '(x) = 

• 3e^x − sinx
• -3e^x + cosx
• ⅓e^x − sinx
• 3e^x + sinx

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Tags

CCSS.HSF-IF.C.7D