compute the derivative of sin²x cosx
English Meaning & Definitions
A specific calculus problem requiring the application of differentiation rules—such as the product rule and chain rule—to find the rate of change of the function f(x) = sin²(x)cos(x).
- “To solve the exam question, you must carefully compute the derivative of sin²x cosx using the product rule.”
- “When you compute the derivative of sin²x cosx, the resulting expression simplifies neatly using trigonometric identities.”
English Synonyms & Near Equivalents
English Antonyms & Opposites
Comprehensive Thesaurus Breakdown
Compare formal, informal, literary synonyms and register nuances for “compute the derivative of sin²x cosx”.
A composite mathematical expression formed by combining standard calculus terminology ('compute the derivative of') with trigonometric functions ('sin²x cosx'), rooted historically in the development of infinitesimal calculus by Newton and Leibniz and trigonometric notation standardized in the 18th and 19th centuries.
Use the product rule: 'First times the derivative of the second, plus the second times the derivative of the first.'
Frequently Asked Questions About “compute the derivative of sin²x cosx”
1. What is the meaning of “compute the derivative of sin²x cosx” in English?
In English, compute the derivative of sin²x cosx (noun) is defined as: “A specific calculus problem requiring the application of differentiation rules—such as the product rule and chain rule—to find the rate of change of the function f(x) = sin²(x)cos(x).”.
2. How do you use “compute the derivative of sin²x cosx” in a sentence?
“To solve the exam question, you must carefully compute the derivative of sin²x cosx using the product rule.”
3. What are English synonyms of “compute the derivative of sin²x cosx”?
4. What is the etymology and word origin of “compute the derivative of sin²x cosx”?
A composite mathematical expression formed by combining standard calculus terminology ('compute the derivative of') with trigonometric functions ('sin²x cosx'), rooted historically in the development of infinitesimal calculus by Newton and Leibniz and trigonometric notation standardized in the 18th and 19th centuries.
🇬🇧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.