A Derivative

Calculus Level pending

A differentiable function f ( x ) f(x) satisfies lim ⁡ x → 0 f ( 3 x − x 2 ) − f ( 0 ) x = 1 3 . \lim _{ x\rightarrow 0 }{ \frac { f(3x-x^{ 2 }) - f(0) }{ x } } = \frac { 1 }{ 3 }. What is 27 f ′ ( 0 ) ? 27f'(0)?


The answer is 3.

View wiki
Srinivasa Satti by Srinivasa Satti

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Shubham Poddar
Apr 29, 2014

it is a 0/0 form hence applying l-hospital rule and then putting the value of x we will get f'(0)=9. and hence 27f'(0)=3

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...