Derivatives

Derivative means the same thing as

• slope of the tangent line

• slope of the normal line

• slope of the secant line

• the function’s value

Tags

CCSS.HSF.IF.B.6

Using this graph of f’(x), find the slope of the line tangent to f(x) at point c

• 0

• 1

• -1

• Not enough information

Tags

CCSS.HSF.IF.B.6

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 slope at x = 3 of the equation f(x) = 3x²

• 6x

• 27

• 18

• 3x

Tags

CCSS.8.EE.B.5

Find the slope of the Normal line to: $f\left(x\right)\ =\ \frac{4\sqrt{x}}{5}$  
at x = 16

•  $\frac{2}{5}$  

•  $-\frac{1}{160}$  

•  $\frac{1}{10}$  

•  $-10$  

Tags

CCSS.HSF.IF.B.6

CCSS.HSG.GPE.B.5

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

What is the derivative of f(x)= cx?

• c

• x

• 1

• 0

Tags

CCSS.HSF.IF.A.2

Differentiate y= x³ + 2x

• 3x³+2x
• 3x²+2
• 3x+2
• 3x

What is the derivative of a constant, C?

• C
• 1
• 0

find 

• y = 2 x^-1
• y=2 x^-2
• y= −2x^-2
• y= −2 x^-1

Tags

CCSS.HSF-IF.C.7A