f'(x) if f(x)=(x²+3)secx
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

f(x)=(x2+3)sec(x).

Let u=x2+3, then du/dx=2x; v=sec(x), dv/dx=sec(x)tan(x).

f(x)=uv, f'(x)=udv/dx+vdu/dx=(x2+3)sec(x)tan(x)+2xsec(x).

f'(x)=sec(x)((x2+3)tan(x)+2x).

by Top Rated User (1.2m points)

Related questions

1 answer
asked Mar 20, 2021 in Calculus Answers by Ty | 476 views
1 answer
asked Mar 9, 2023 in Other Math Topics by anonymous | 925 views
1 answer
asked Jun 13, 2021 in Algebra 1 Answers by Dee | 518 views
1 answer
1 answer
asked Oct 31, 2015 in Algebra 2 Answers by anonymous | 682 views
1 answer
asked Feb 26, 2014 in Other Math Topics by Kanabesa Level 1 User (400 points) | 828 views
1 answer
asked Feb 26, 2014 in Other Math Topics by Kanabesa Level 1 User (400 points) | 570 views
1 answer
asked Jun 10, 2017 in Calculus Answers by Stanley | 4.5k views
1 answer
1 answer
asked Apr 8, 2013 in Calculus Answers by anonymous | 731 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,344 answers
2,420 comments
764,316 users