Basic Derivatives Day 1

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Find g'(x) if g(x)=4x³

• 12x³
• 4x²
• 3x⁴
• 12x²

Tags

CCSS.HSF.IF.A.2

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $f\left(x\right)=\frac{5}{x^2}$  

f'(x) = 

• 5x

• 5/2x

• 5x^-2

• -10/x³

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

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

Tags

CCSS.HSA.APR.A.1

Find $\frac{dy}{\text{}dx}$ , If  $\ y=\left(\ x^2+1\right)\left(x^3+3\right)$  .

•  $2x\ +\ 3x^2$  

•  $6x^3$  

•  $2x^2+2x\ +3x^{5\ }+\ 9x^2$  

•  $5x^4+3x^2+6x$  

Find the derivative.
 f(z) = 1/(3z²) + 4z³

• f'(z) = 6z³ + 12z²
• f'(z) = 6z + 12x²
• f'(z) =  -2/(3z³) + 12z²
• f'(z) = -6/z² + 12z²

Find the slope of the tangent line to the graph of the function at the given point.

 $f\left(x\right)=3x^2-8,\ \left(3,19\right)$  

•  $18$  

•  $3$  

•  $8$  

•  $27$