S Sithira New member Joined Dec 3, 2016 Messages 1 Dec 3, 2016 #1 I have this function question: \(\displaystyle \mbox{(i) Find }\, f'(-2)\, \mbox{ of the function }\, f(x)\, =\, |x|\) i know this is easy but i have no idea how to ? any help ? like with steps and explanations would be great Attachments maths.jpg 7.2 KB · Views: 3 Last edited by a moderator: Dec 3, 2016
I have this function question: \(\displaystyle \mbox{(i) Find }\, f'(-2)\, \mbox{ of the function }\, f(x)\, =\, |x|\) i know this is easy but i have no idea how to ? any help ? like with steps and explanations would be great
D Deleted member 4993 Guest Dec 3, 2016 #2 Sithira said: I have this function question: \(\displaystyle \mbox{(i) Find }\, f'(-2)\, \mbox{ of the function }\, f(x)\, =\, |x|\) i know this is easy but i have no idea how to ? any help ? like with steps and explanations would be great Click to expand... If f(x) = |x| what is f(x) when x > 0? what is f(x) when x < 0? similarly, what is f'(x) when x > 0? what is f'(x) when x < 0? Last edited by a moderator: Dec 3, 2016
Sithira said: I have this function question: \(\displaystyle \mbox{(i) Find }\, f'(-2)\, \mbox{ of the function }\, f(x)\, =\, |x|\) i know this is easy but i have no idea how to ? any help ? like with steps and explanations would be great Click to expand... If f(x) = |x| what is f(x) when x > 0? what is f(x) when x < 0? similarly, what is f'(x) when x > 0? what is f'(x) when x < 0?
H HallsofIvy Elite Member Joined Jan 27, 2012 Messages 7,760 Dec 3, 2016 #3 In other words, in order to find the derivative of a function, you first have to know what the function is! How is |x| defined? (You could also use the fact that the derivative. at a point, is the slope at that point. What does the graph of y= |x| look like?)
In other words, in order to find the derivative of a function, you first have to know what the function is! How is |x| defined? (You could also use the fact that the derivative. at a point, is the slope at that point. What does the graph of y= |x| look like?)