Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Proof of Sum/Difference of Two Functions : (f(x) + g(x))′ = f ′(x) + g ′(x)
It is easy adequate to prove by using the definition of the derivative. We will start with the sum of two functions. Firstly plug the sum in the definition of the derivative and rewrite the numerator a bit.
(f(x) + g(x))' = limh→0 (f(x + h) + g(x + h) - (f(x) + g(x)))/h
= limh→0 (f(x + h) - f(x) + g(x + h) - g(x))/h
Then, break up the fraction in two pieces and recall the limit of a sum is the total of the limits. By using this fact we consider that we end-up with the definition of the derivative for all of the two functions.
(f(x) + g(x))' = limh→0 (f(x + h) - f(x))/h + limh→0 (g(x + h) - g(x))/h
= f'(x) + g'(x)
The proof of the difference of two functions in nearly the same therefore we'll provide this here without any clarification.
(f(x) + g(x))' = limh→0 (f(x + h) - g(x + h) - (f(x) - g(x)))/h
= limh→0 (f(x + h) - f(x) - (g(x + h) - g(x))/h
= limh→0 ((f(x + h) - f(x))/h) - ((g(x + h) - g(x))/h)
= f'(x) - g'(x)
Utilizes the second derivative test to classify the critical points of the function, h ( x ) = 3x 5 - 5x 3 + 3 Solution T
Arc length Formula L = ∫ ds Where ds √ (1+ (dy/dx) 2 ) dx if y = f(x), a x b ds √ (1+ (dx/dy) 2 ) dy
what is the meaning of volume of plane figures?
how much congruent sides does a trapezoid have
20! 18!
what is the least number of faces and bases the paperweight could have?
Ask Suppose I offer you a loan to start a safety matchstick production unit on the following terms: I shall first advance you Rs.50,000/- to set up your unit, and wait for 3 month
CO-ORDINATE GEOMETRY : Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
Find the length of the second diagonal of a rhombus, whose side is 5cm and one of the diagonals is 6cm.
A motor boat takes Six hours to cover 100 km downstream and 30 km upstream. If the motor boat goes 75 km downstream and returns back to its starting point in 8 hours, find the sp
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd