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to differentiate

to differentiate

1 8.9
To find how a math function's value changes with a variable
  • verb
  • /ˌdɪfərˈɛnʃiˌeɪt/
  • Specialized
translation icon : derivar
  • So you can always check your answer by differentiating your result.
  • differentiate the signal

So we're going to differentiate U and we're going to integrate DV.

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Examples

  • The standard approach to measuring productivity would be to differentiate Q with respect to time:

    Academic text (1999)
  • We can now differentiate this equation with respect to time.

  • Well, Y is a function of X, so we differentiate both sides...

  • The first term comes when we differentiate the first factor in the product.

  • Moving on, you do need to differentiate both sides of the equation, which may not be something you're used to.

  • Different rhythms can be sung to differentiate half steps from whole steps (see Figure 3).

    Academic text (2011)
  • One factor that differentiates nursing care from other disciplines is our use of the nursing process.

    Academic text (2011)
  • The resulting gravitational potential is differentiated to yield the gravitational forces that accelerate the gas and dark matter.

    Academic text (2011)
  • Skin biopsies, serologic screening, or other investigations may be necessary to differentiate the flush of rosacea from facial contact dermatitis, lupus erythematosus, or photosensitivity.

    Academic text (2015)
  • In calculus, we usually differentiated the equation with respect to the variable x.

Antonyms

to integrate
  • Specialized
8 6.9

To find the area under a curve in math

Surface Forms

differentiate infinitive
differentiated past participle
differentiating present participle
differentiates third person singular

Morphology

differentiate = different (opaque) = different + iate

The mathematical sense 'to take a derivative' is a technical extension not directly inferable from the everyday adjective 'different', so learners cannot reliably derive the meaning from the base form.

Etymology

Differentiate shares the root of different and difference, which comes from an old Latin idea meaning 'to carry apart'. In math, to differentiate is to find how a function changes — it measures small 'differences', so the origin fits the modern meaning.