Derivatives

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

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSF.IF.A.2

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

Find the derivative. f(x) = -8x^-3 + 5x - e²

• f'(x) = -24x^-4 + 5 - e^x-1

• f'(x) = 24x^-4 + 5

• f'(x) = 24x^-2 + 5

• f'(x) = 24x^-4 + 5 - e

Tags

CCSS.7.EE.A.1

Find the derivative. f(x) = 1/(3x²) + 4x³

• f'(x) = 6x³ + 12x²
• f'(x) = 6x + 12x²
• f'(x) =  -2/(3x³) + 12x²
• f'(x) = -6/x² + 12x²

f(x)=5x
find f'(x)

• 5
• 1
• 0
• 5x

Tags

CCSS.HSF.IF.A.2

f(x)=x^3
f'(x)=

• x²
• 3x²
• 6x
• 3x

g(x)=7x+1
g'(x)=

• 7
• 7x
• 7x+1
• 0

Tags

CCSS.HSF.IF.A.2

y=5x²+ 3x + 9
dy/dx = 

• 10x
• 10x+3
• 10x²+3
• 10

y=9
y'=

• 9
• 0
• 1
• undefinded

Tags

CCSS.8.EE.C.7B