Slope of a Tangent Line

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Differentiate f(x) = (9 - 4x²)^-1

• 8x/(9 - 4x²)^-2

• 8x/(9 - 4x²)²

• -8x/(9 - 4x²)^-2

• -8x(9 - 4x²)²

If f(x)=(6x²-5x)⁷
what is f'(x)?

• 7(6x²-5x)⁶
• 7(6x²-5x)⁶⋅(12x)
• 7(6x²-5x)⁶⋅(12x-5)
• (12x-5)

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the derivative of this function

• (8x³ -60x/(2x²-5)²
• 16x⁴/(2x²-5)²
• (8x⁴ -60x²)/(2x²-5)²
• 3x/(2x²-5)²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3