Mathematics Exam  >  Mathematics Questions  >  Let f : R2 —> R be such thatandexist... Start Learning for Free
Let f : R2 —> R be such that and exist at all points. Then,
  • a)
    The total derivative of f exists at all points of R2
  • b)
    f is continuous on R2
  • c)
    The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuous
  • d)
    all directional derivative of f exist at all points of R2
Correct answer is option 'C'. Can you explain this answer?
Explore Courses for Mathematics exam
Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer?
Question Description
Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let f : R2 —> R be such thatandexist at allpoints. Then,a)The total derivative of f exists at all points of R2b)f is continuous on R2c)The function f(x, y) as a function of x for every fixed y and f(x,y) as a function of y for every fixed x are continuousd)all directional derivative of f exist at all points of R2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev