Derivatives

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Tags

CCSS.HSF.IF.A.2

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

find 

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

Tags

CCSS.HSA.APR.A.1

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

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

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

• sinx
• -sinx
• -cscx cotx
• sec²x

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

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 f'(x) of  $f\left(x\right)\ =\ 3x^2+5\tan\left(x\right)$  

•  $f'\left(x\right)\ =\ 3\ +\ 5\sec^2\left(x\right)$  

•  $f'\left(x\right)\ =\ 6x\ +\ 5\sec\left(x\right)$  

•  $f'\left(x\right)\ =\ 6x\ +\ 5\sec^2\left(x\right)$  

•  $f'\left(x\right)\ =\ 6\ +\ 5\sec^2\left(x\right)$  

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1