f-x-x-2-3x-10-f-x-2x-3-and-f-1-5-what-indicate-these-vslue-f-x-andf-1-in-geometrical-meaning-

Question Number 2229 by tabrez8590@gmail last updated on 09/Nov/15

f (x) = x^{2} + 3 x + 10

\Rightarrow f^{^{'}} (x) = 2 x + 3 a n d

f^{^{'}} (1) = 5 w h a t i n d i c a t e t h e s e v s l u e

f^{'} (x) {a n d f}^{'} (1) i n g e o m e t r i c a l m e a n i n g

Answered by prakash jain last updated on 09/Nov/15

If you plot a graph with f (x) on Y - axis

and x on X - axis, then

f^{'} (x) gives the slope of the tangent drawn

on the curve at point (x, f (x)) .

f^{'} (1) = 5 gives the of the tangent at point

(1, f (1)) = (1, 14) .

slope = \tan θ, where θ is the angle made by

tangent with X - axis .