Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,434 questions

17,804 answers

1,438 comments

48,258 users

find derivative using definition of derivative

+2 votes

 

             Use the defnition of a derivative to find the derivative of y=1.5x^2-x+3.7             
asked Feb 14, 2013 in CALCULUS by payton Apprentice

1 Answer

+2 votes

Let f(x) = y = 1.5x2 - x + 3.7

f(x + h) = 1.5(x + h)2 - (x + h) + 3.7 = 1.5(x2+2xh+h2)-(x + h) + 3.7

f(x + h) = 1.5x2+3xh+1.5h2-x - h + 3.7

Fundamental theorem of differentiation:

image

image

image

image

Take out common term h.

image

image

image

Therefore y' = 3x - 1.

answered Feb 14, 2013 by britally Apprentice

Related questions

...