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
guesstimate
interpolation
inverse function
linear equation
mathematical
matrix
miscalculate
miscalculation
miscount
operator
sum
sum total
triangulate
work something out

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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
communicative
didactic
hothouse
Moodle
multi-course
non-conditioned
non-didactic
non-education
popularize
sex education
show/teach someone the ropesidiom
socialization
socializing
special education
tutelage

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Classes & courses

differentiate | American Dictionary

differentiate
verb[ I/T ]
us/ˌdɪf·əˈren·ʃiˌeɪt/
to show or find the difference between one thing and another, or between things that are compared:
[ T ]What differentiates wheat from other crops is that it is almost exclusively used as a food product.
[ Ialways+ adv/prep ]The axons are like phone wires that carry the signals that allow the brain to differentiate between various smells.

differentiate | Business English

differentiate
verb
uk /ˌdɪfəˈrenʃieɪt/us
[ T ] MARKETING
to show how a product or company is different from other similar ones and what its advantages are, especially in order to attract a particular group of consumers:
differentiate sth from sthThe company wanted a website that would differentiate them from their competitors.
In order to differentiate our service, it was decided that the brochure would depart from the traditional format.
[ I or T ]
to show or find a difference between people or things:
A purchase tax can differentiate between luxuries and necessities.
[ T ]
to be the quality or feature that makes one thing different from another:
differentiate sth from sthCustomers may wonder what differentiates one type of beer from another.

Examples of differentiate

differentiate
As chemists reported and named their findings, it became increasingly clear that a number of differentiating criteria were possible.
Also, for simulation of the reference model (15) the material nonholonomic constraint (13a) was differentiated.
The heart rate acceleration is calculated by differentiating the smoothed heart rate signal.
Reviews 583 signified several large-scale blocs of cultures and heritages that were differentiated by their position along the spectrum of barbarity and modernity.
Depending on the type of management, yields are clearly differentiated.
The reviewer expects that, if the program is differentiated by need, the proportion of local versus international participants will vary based on these needs.
When they are released, the embryo is differentiated but underdeveloped.
However, the two different types of section are differentiated not only by the intended temporal effect but also by thematic construction.
Five types of phenological behaviour were differentiated by cluster analyses according to the season during which each species produced most of its mature seeds.
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.
If the two terms are to be differentiated, then doctrina refers to the teacher's side of instruction and disciplina to the student's side.
A number of professional characteristics differentiated in the overall evaluation of losartan and atorvastatin.
To answer these questions further experiments were directed to the use of mouse fibroblasts - somatic, fully differentiated cells - for nuclear transplantation into early meiotic ooplasm.
Our analysis did not distinguish between these two tissues, because they had not differentiated in the early blastocysts studied here.
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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.