differentiate y = sin²x cosx
English Meaning & Definitions
To find the derivative of the function y = sin²(x)cos(x) with respect to x, typically using the product rule and chain rule.
- “To differentiate y = sin²x cosx, we apply the product rule.”
- “Students learned how to differentiate y = sin²x cosx in their calculus class.”
English Synonyms & Near Equivalents
English Antonyms & Opposites
Comprehensive Thesaurus Breakdown
Compare formal, informal, literary synonyms and register nuances for “differentiate y = sin²x cosx”.
A mathematical instruction combining 'differentiate' (derived from Latin 'differentiare', meaning to exhibit a difference or perform calculus differentiation) with a trigonometric function expression involving sine and cosine.
Use the product rule combined with the chain rule: 'First times the derivative of the second, plus the second times the derivative of the first'.
Frequently Asked Questions About “differentiate y = sin²x cosx”
1. What is the meaning of “differentiate y = sin²x cosx” in English?
In English, differentiate y = sin²x cosx (verb) is defined as: “To find the derivative of the function y = sin²(x)cos(x) with respect to x, typically using the product rule and chain rule.”.
2. How do you use “differentiate y = sin²x cosx” in a sentence?
“To differentiate y = sin²x cosx, we apply the product rule.”
3. What are English synonyms of “differentiate y = sin²x cosx”?
4. What is the etymology and word origin of “differentiate y = sin²x cosx”?
A mathematical instruction combining 'differentiate' (derived from Latin 'differentiare', meaning to exhibit a difference or perform calculus differentiation) with a trigonometric function expression involving sine and cosine.
🇬🇧More English Words to English
View all English words →The base unit of time in the International System of Units (SI), equal to the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom.
A specific duration of time equal to one hour and forty-six minutes and twelve seconds.
The cardinal number equal to one thousand million (1,000,000,000), expressed in scientific notation as 10^9.
A specific duration of time equivalent to one hour and forty-six minutes.