Answers>Maths>IB>Article

f(x)=(2x+1)^0.5 for x >-0.5. Find f(12) and f'(12)

f(12)=((212)+1)^0.5=25^0.5=5 (simply substitute 12 into the original function)To find f'(12) we need to first find the derivative of the function and then we can substitute 12 in like we did before.f'(x)=0.5(2x+1)^-0.5*(2)=(2x+1)^-0.5=1/((2x+1)^0.5)f'(12)=1/(2(12)+1)^0.5=1/25^0.5=1/5

Answered by Daniel R. Maths tutor

1208 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

How do radians work? Why can't we just keep working with degrees in school?


All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?


Find an antiderivative to the function f(x) = e^x cos(x)


How to prove that Integral S 1/(a^2+x^2) dx= 1/a arctan(x/a) + C ?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences