Solve all your doubts with Teachoo Black (new monthly pack available now!)
Derivatives by 1st principle - At a general point
Derivatives by 1st principle - At a general point
Last updated at May 29, 2018 by Teachoo
Example 9 Find the derivative of f(x) = 10x. Let f (x) = 10x We need to find derivative of f(x) i.e. f’ (x) We know that f’(x) = limh→0 f x + h − f(x)h Here, f (x) = 10x So, f (x + h) = 10(x + h) Putting values f’ (x) = limh→0 10 x + h − 10 xℎ = limh→0 10𝑥 + 10ℎ −10𝑥ℎ = limh→0 10ℎℎ = limh→0(10) = 10 Hence, f’(x) = 10