01 76 38 08 47
Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

Kartable logo
HomeBrowseSearchLog in

To enjoy 10 free documents.

  1. Home
  2. 12th grade
  3. Calculus
  4. Exercise : Determine whether a function increases or decreases using its derivative

Determine whether a function increases or decreases using its derivative Calculus

Let f be the function defined as follows:

f:x\longmapsto 2x^2-4x

Determine whether f is increasing or decreasing between 1 and 5.

Let f be the function defined as follows:

f:x\longmapsto x^{3}-4x^{2}+5x-7

Determine whether f is increasing or decreasing.

Let f be the function defined as follows:

f:x\longmapsto x^{2}\ln\left(x\right)

Determine whether f is increasing or decreasing on \left(0,\infty\right).

Let f be the function defined as follows:

f:x\longmapsto \dfrac{x^{2}}{x-1}

Determine whether f is increasing or decreasing on \left(-\infty,1\right)\cup\left(1,\infty\right).

Let f be the function defined as follows:

f:x\longmapsto x^{4}e^{2x}

Determine whether f is increasing or decreasing.

Let f be the function defined as follows:

f:x\longmapsto \sqrt{x^{2}+4x+5}

Determine whether f is increasing or decreasing.

Let f be the function defined as follows:

f:x\longmapsto \dfrac{x+3}{2x-4}

Determine whether f is increasing or decreasing on \left(-\infty,2\right)\cup\left(2,\infty\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 is convex or concave using the second-order derivative
  • Exercise : Determine the points of inflexion of a function
  • support@kartable.com
  • Legal notice

© Kartable 2025