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  1. Home
  2. 12th grade
  3. Calculus
  4. Exercise : Determine the points of inflexion of a function

Determine the points of inflexion of a function Calculus

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=5x^{3}-30x^{2}+25x-10

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=x^{2}e^{3x}

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=x^{3}-5x^{2}+7x-3

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=\ln\left(x^{2}+4x\right)

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=\dfrac{1}{2}x^{4}+\dfrac{2}{3}x^{3}-5x+4

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=x^{3}\ln\left(x\right)

Determine the x-coordinates of the points of inflexion of the following function:

f\left(x\right)=4x^{2}-10x+\ln\left(7\right)

See also
  • Course : Derivatives
  • Exercise : Determine the equation of a tangent at a given point from the equation of a function
  • Exercise : Determine whether a function increases or decreases using its derivative
  • Exercise : Determine whether a function is convex or concave using the second-order derivative
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