f'(x) if f(x)=(x²+3)secx

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
Given f(x,y)=x²+xy²-2x+1
asked Mar 20, 2021 in Calculus Answers by Ty | 476 views
1 answer
F(x)= 2x-3, G(x)= 9-x², solve gf(x)=16
asked Mar 9, 2023 in Other Math Topics by anonymous | 925 views
1 answer
f(x) = x²-4 / x-2
asked Jun 13, 2021 in Algebra 1 Answers by Dee | 518 views
1 answer
Finding the x and y intercept of F(x)=x²+3x-2
asked Aug 3, 2016 in Other Math Topics by andre | 2.2k views
1 answer
f(x) = 1 + x + x²
asked Oct 31, 2015 in Algebra 2 Answers by anonymous | 682 views
1 answer
Given that f(x)=x²+2x²-x-2
asked Feb 26, 2014 in Other Math Topics by Kanabesa Level 1 User (400 points) | 828 views
1 answer
Given that f(x)=x²+2x²-x-2
asked Feb 26, 2014 in Other Math Topics by Kanabesa Level 1 User (400 points) | 570 views
1 answer
y''-2y'+2y=(e^x)*secx using Wronskian
asked Jun 10, 2017 in Calculus Answers by Stanley | 4.5k views
1 answer
how to solve 1/secx-1 - 1/secx+1
asked May 17, 2013 in Calculus Answers by anonymous | 625 views
1 answer
express this complex trig equation 2cosx+2=secx
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!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,344 answers
2,420 comments
764,106 users