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How to have a implicit function of a symbolic variable in our expressions and calculations

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EllaD
EllaD on 25 Jan 2021
Commented: EllaD on 25 Jan 2021
Hello,
Lets say I have
syms x y z
and I want to have the following expression
A=(3*x+5*y+3*z+5)*(f(x)+z)
and I am looking to find
diff(A,x)
where f(x) is a function of x and I want to find the derivate of A with respect to x. Is there a way to write f(x) so that when differentiating A ,it shows it as ?
Appreciate any help.
Thanks a lot!

Accepted Answer

Birdman
Birdman on 25 Jan 2021
Simply, you can define symbolic functions just like symbolic variables:
syms x y z f(x)
A=(3*x+5*y+3*z+5)*(f(x)+z);
diff(A,x)
ans =
3*z + 3*f(x) + diff(f(x), x)*(3*x + 5*y + 3*z + 5)

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