# Thread: how do you sketch f"(x) from f'(x)

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2. ## Re: how do you sketch f"(x) from f'(x)

Originally Posted by highshill
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$\noindent If you know in general how to sketch the graph of f'(x) from f(x), then you know how to sketch f''(x) from f'(x).$

3. ## Re: how do you sketch f"(x) from f'(x)

Originally Posted by InteGrand
$\noindent If you know in general how to sketch the graph of f'(x) from f(x), then you know how to sketch f''(x) from f'(x).$
So do we follow the same principle :
f'(x) to f(x)
Find Stationary Point
if line/curve is above the x-axis the gradient is positive and if the graph is below the gradient is negative
Sketch according to slope

So for f'(x) to f"(x)
Same thing

4. ## Re: how do you sketch f"(x) from f'(x)

Originally Posted by highshill
So do we follow the same principle :
f'(x) to f(x)
Find Stationary Point
if line/curve is above the x-axis the gradient is positive and if the graph is below the gradient is negative
Sketch according to slope

So for f'(x) to f"(x)
Same thing
Yeah its the same process as sketching f(x) to f'(x).

- Stationary points become x-intercepts
- Parts with a positive gradient are above the x axis
- Parts with a negative gradient are below the x axis

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