integrate
To differentiate a function like (2x +1)3, the only method available to you is to use the binomial theorem to multiply out the brackets, and then to differentiate term by term.
You should be able to differentiate a variety of trigonometric functions using the chain rule.
The matrix of partial derivatives is obtained from differentiating the equation.

SMART Vocabulary: related words and phrases

Calculations & calculating
algebraic
algebraically
algo
algorithmic
amount
calculate
integration
interpolation
inverse function
linear equation
mathematical
miscalculate
miscount
operator
sum
sum total
tolerance
tot something up
triangulate
work something out

You can also find related words, phrases, and synonyms in the topics:

Branches & types of mathematics

differentiateverb (EDUCATION)

[ I or T ] education specialized
to use different teaching materials and methods within the same lesson to suit the abilities and needs of different students:
This approach allows me to differentiate my instruction for all my students.
Teachers are trained to differentiate their instruction to suit a range of student abilities and learning styles.
Most teachers will be used to differentiating work, so should be able to provide your child with extension tasks.
He fears that personalized learning will be used to force teachers to differentiate by task for every single lesson taught.

SMART Vocabulary: related words and phrases

Teaching in general
asynchronous
chief academic officer
CLIL
clue
clue in
didactic
hothouse
inculcate
miseducation
Moodle
multi-course
non-conditioned
non-didactic
popularize
sex ed
sex education
show/teach someone the ropesidiom
socialization
socializing
tutelage

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Classes & courses

Examples of differentiating

differentiating

In English, many past and present participles of verbs can be used as adjectives. Some of these examples may show the adjective use.

As chemists reported and named their findings, it became increasingly clear that a number of differentiating criteria were possible.
The heart rate acceleration is calculated by differentiating the smoothed heart rate signal.
The most important ecological features in differentiating tadpole species were position in the water column, time of occurrence and water depth.
The latter was adopted by some workers, who claimed that the staining actions obtained were useful in differentiating between tissues.
The passage evokes a gendered division between author and reader, differentiating the "real man" author from the woman that he addresses.
Once the design variables are determined, the joint displacements, velocities and accelerations can be obtained by differentiating equation (10).
In our study we determined if cyst wall assembly was displayed only by differentiating, nondividing cells.
One major hurdle in investigating an outbreak caused by a common organism is differentiating those cases associated with the outbreak from background cases.
The purpose is to discover whether the cumulative dimension is better than the single dimension at differentiating between the poor and non-poor.
From this we see the importance of differentiating the context of e-government design from the context of deployment/use.
Plasmodium falciparum : a simple polymerase chain reaction method for differentiating strains.
Language testing consistently identifies grammar as a significant factor in differentiating between score levels and characterizing overall proficiency.
You cannot start differentiating between groups of patients, learning difficulty or not.
Clearly this probe question was inadequate in eliciting additional information on learners' awareness, or lack thereof, and also in differentiating between aware and unaware learners.
This variable was used both as continuous and dichotomised (differentiating those living within 20 km from those separated by a greater distance).
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.