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how do you do symbolic differentiation on function handle?

Date: 2022-07-28 10:58:41

Say if i define the following: 

 

 g = @(x) x/sqrt(x^2+1)

How do i get the derivative function for g, which i can then use to evaluate at different points?

I tried the symbolic math toolkit, and tried the following: 

 

>> syms x

>> f = x/sqrt(x^2+1)

f =

x/(x^2 + 1)^(1/2)

>> diff(f)

ans =

1/(x^2 + 1)^(1/2) - x^2/(x^2 + 1)^(3/2)

However, i cannot figure out how to turn this into a function handle/evaluate at different points. However, i prefer doing differentiation on function_handle.

Thank you very much! 

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Expert Answer:

: 

You can use matlabFunction to convert a symbolic equation to a function. For example: 

 

syms x1 x2;
f1 = x1^2+x2^2;
Df1 = jacobian(f1, [x1 x2]);
Df1 = matlabFunction(Df1);

Then Df1(0, 0) returns [0 0] as expected.

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