Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find f'(x) using the definition of a derivative for #f(x)= 5x + 9 # at x=2?

1 Answer

Oct 18, 2015

See the explanation.

Explanation:

#f'(x)=lim_(h->0) (f(x+h)-f(x))/h#

#f'(x)=lim_(h->0) (5(x+h)+9-(5x+9))/h#

#f'(x)=lim_(h->0) (5x+5h+9-5x-9)/h#

#f'(x)=lim_(h->0) (5h)/h=lim_(h->0) 5 = 5#

#f'(x)=5#

Related questions

What is the limit definition of the derivative of the function #y=f(x)# ?
Ho do I use the limit definition of derivative to find #f'(x)# for #f(x)=3x^2+x# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=sqrt(x+3)# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=1/(1-x)# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=x^3-2# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=1/sqrt(x)# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=5x-9x^2# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=sqrt(2+6x)# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=mx+b# ?
How do I use the limit definition of derivative to find #f'(x)# for #f(x)=c# ?

See all questions in Limit Definition of Derivative

Impact of this question

2551 views around the world

You can reuse this answer
Creative Commons License