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differentiable

advancedC1

/ˌdɪfəˈrɛnʧəbl/ · dif-fer-en-ti-a-ble

Capable of being differentiated; having a derivative.

Meanings

adjectivetechnical

Capable of being differentiated; having a derivative.

ایسا جو تمیز دیا جا سکے؛ جس کا مشتق ہو۔

تمیز پذیر

tameez pazeer

Synonyms

differentiable functionderivablesmoothتمیز پذیر فعلمشتق قابلہمواہ

Antonyms

non-differentiableindefinableunclearغیر تمیز پذیرنامعینہغیر واضح

Common Collocations

  • differentiable function
  • continuously differentiable

Example Sentences

The function f(x) is differentiable at every point in its domain.

فنکشن f(x) اپنے دائرہ کار کے ہر نقطے پر تمیز پذیر ہے۔

Function f(x) apne daira kar ke har nuqte par tameez pazeer hai.

In calculus, we study differentiable functions to understand their properties.

حساب میں، ہم تمیز پذیر افعال کا مطالعہ کرتے ہیں تاکہ ان کی خصوصیات کو سمجھ سکیں۔

Hesaab mein, hum tameez pazeer afaal ka mutala karte hain taake un ki khusoosiyat ko samajh sakein.

A function is considered differentiable if it has a derivative at that point.

اگر کسی نقطے پر ایک مشتق ہو تو اسے تمیز پذیر سمجھا جاتا ہے۔

Agar kisi nuqte par aik mushtaq ho to ise tameez pazeer samjha jata hai.

Easily Confused With

differential:Differentiable refers to the ability to differentiate a function, while differential often relates to the difference between two quantities.

Word Family

differentiate
verbتمیز دینا
differentiation
nounتمیز دینا

See Also

💡 Memory Tip

Remember 'differentiable' by thinking about functions that can be smoothly changed.

Picture a smooth curve that can be easily altered, denoting differentiability.

📖 Etymology

Origin: Latin "differentiabilis" — that can be made different

First known use: 19th century

The term 'differentiable' has evolved from the Latin roots related to the word 'different' into the realm of calculus, denoting functions that have derivatives.