Calc AOC and IOC

For the given function: f(x)=5x^2-3x+7

Find the AOC of the function over the given interval [0,2] and make the secant line equation over the given interval

Use the limit definition to compute the derivative f'(x) if f(x)=5x^2-3x+7

After using limit definition to compute the Derivative f'(x) if f(x)=5x^2-3x+7, write the equation of the tangent line to the curve at x=1

Determine where the function is not differentiable

• x=-7,x=-4,x=6

• x=-7,x=-4,x=0,x=6,x=-3

• x=0,x=3

• x=-7,x=-4,x=0,x=6

Which of the following points are not differentiable due to discontinuity?

• x=-7

• x=-4

• x=6

• x=0

Which of the following points is not differentiable due to a vertical tangent?

• x = -4

• x = 0
• x = 6

• x = -7

Which of the following points is not differentiable due to a sharp point?

• None of the following

• x=-7

• x=-4

• x=6

If the following function is differentiable at x=3, find a+b

f(x)= {ax+b, x<3

x^2-4x+8, x≥3

• a=2

  b=-1

• a=3

  b=1

• a=4

  b=-3

• a=6

  b=8

Which choices correctly identify what the highlighted portions represent?

• All three points represent where the function is not differentiable

• x=-5 and x=2 are not differentiable due to sharp points

• x=-1 is not differentiable due to discontinuity

• x=2 is not differentiable due to discontinuity

Which answer choices correctly identify what the highlighted portions represent?

• All highlighted sections are parts of the function where it is continuous but NOT differentiable

• x=-7 is continuous but not differentiable due to a sharp

• x=-2 is continuous but not differentiable due to a vertical tangent

• x=4 is continuous but not differentiable due to a vertical tangent