Intro to Derivatives

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

What is the derivative of y=xⁿ?

• y'=(n+1)xⁿ
• y'=(n-1)xⁿ
• y'=(n)xⁿ⁺¹
• y'=(n)x^n-1

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Differentiate $f\left(x\right)=\frac{2}{x^5}-5$  

• x⁵-3

• -10x⁶

• x⁵-5

• -10x^-6

what is the derivative of f(x)= 2x²+6x-7?

• 4x-6
• 2x+6
• 4x+6
• 2x²

The slope of the tangent line is...

• the slope of the normal line
• the original graph
• the reciprocal of the graph of f(x)
• the derivative

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

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

• f'(x) = -24x^-4 + 5
• f'(x) = 24x^-4 + 5
• f'(x) = 24x^-2 + 5
• f'(x) = 24x^-4 - 5

Differentiate f(x) = 5x⁷.

• 35x⁶
• 210x⁵
• 5x⁶
• 1050x⁴

Solve f '(2)  for 
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

Differentiate $f\left(x\right)=\frac{9}{∛x}$  

• 9x^-1/3

• -3x^-4/3

• -9x^2/3

• -3x^2/3