Derivative - Slope and Equation of tangent line

Find the slope of the tangent line to the curve

 $y=4-3x^2\ at\ \left(-1,1\right)$  .

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Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the slope of the tangent line to the curve

 $y=2x^2-5\ at\ \left(2,3\right)$  .

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Tags

CCSS.HSF.IF.C.7

Find the slope of the tangent line to the curve

 $y=3x^2+2\ at\ \left(1,5\right).$  

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Find the slope of the tangent line to the curve

 $y=\left(5x-2\right)^2\ at\ \left(\frac{1}{2},-2\right).$  

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Find the slope of the tangent line to the curve $y=\left(x^2-3\right)\left(2x-3\right)\ at\ \left(-1,0\right).$  

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Find the equation of the tangent line to the curve $y=2x^2-2x+4\ at\ \left(1,4\right).$  

•  $y=2x+2$  

•  $y=2x+1$  

•  $y=2x-4$  

•  $y=2x-1$  

Tags

CCSS.HSG.GPE.B.5

Find the equation of the tangent line to the curve $y=x^2-3x+3\ at\ \left(3,3\right).$  

•  $y=3x-3$  

•  $y=x-3$  

•  $y=3x+3$  

•  $y=x+3$  

Tags

CCSS.HSA.REI.D.11

Find the equation of the tangent line to the curve $y=\left(3x^2+5\right)^2\ at\ \left(1,1\right).$  

•  $y=96x-95$  

•  $y=26x-25$  

•  $y=86x-85$  

•  $y=56x-55$  

Tags

CCSS.HSG.GPE.B.5

Find the equation of the tangent line to the curve

 $y=\left(5x-2\right)^2\ at\ \left(\frac{1}{2},-2\right).$  

•  $y=5x-\frac{9}{2}$  
  

•  $y=5x+\frac{2}{9}$  
  

•  $y=5x-\frac{2}{3}$  

•  $y=5x+\frac{9}{2}$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the slope of the tangent line to the curve $y=\left(x^2-3\right)\left(2x-3\right)\ at\ \left(-1,0\right).$

• $y=6x+6$

• $y=6x$
  

• $y=6x-1$

• $y=6x-6$
  

Tags

CCSS.HSF.IF.B.6